Word Problems

Problem 2101

Find the percentage increase in the couch's price from \$600 to \$720. Show your work without rounding.

See Solution

Problem 2102

Calculate a 20% tip on a \$46.75 dinner bill. Round the tip to the nearest cent.

See Solution

Problem 2103

When you multiply a value by 100, the decimal moves two places right. Find the percentage of salt in 125 g seasoning with 74.0 g salt.

See Solution

Problem 2104

Find the percentage of salt by mass in 125 g of seasoning containing 74.0 g of salt. Express numerically without rounding.

See Solution

Problem 2105

The equation $10 x=10$ has how many solutions?

See Solution

Problem 2106

Calculate Lane's running speed in mph using the correct formula involving steps, feet, miles, and minutes.

See Solution

Problem 2107

In a college of 20.40 students, if 50% are male, how many female students are there? Round to the nearest integer.

See Solution

Problem 2108

Elaine has a 20-yard long garden for 7 rows of flowers. How wide should each row be? Calculate using $20 \text{ yards} \div 7$ .

See Solution

Problem 2109

In a college with 2940 students, if $50\%$ are male, how many female students are there? Provide an integer answer.

See Solution

Problem 2110

What comes next in the series: a11, A12, b21, B22, c31, C32? A. $\mathrm{C} 33$ B. D33 C. $d 33$ D. $d 41$ E. D41 F. c33

See Solution

Problem 2111

Find the next number in the series: $2, 6, 12, \ldots$

See Solution

Problem 2112

What is the reasoning called when you form general ideas from experiences: A. conjunction B. conduction C. induction D. deduction?

See Solution

Problem 2113

If a gross equals 144 items, how many dozens are in a gross of eggs? Express your answer in dozens.

See Solution

Problem 2114

In induction, you can form a guess about a pattern known as a $C$ . What is it? A. conjunction B. conjugation C. conjecture D. congruence

See Solution

Problem 2115

What comes next in the series? $10 \mathrm{~A}, 21 \mathrm{~b}, 32 \mathrm{C}, 43 \mathrm{~d}, 54 \mathrm{E}, 65 \mathrm{f}$ ? Options: A. $76 \mathrm{G}$ B. $66 \mathrm{~g}$ C. 765 D. $7 \mathrm{fg}$ E. $76 \mathrm{~g}$ F. $66 \mathrm{G}$

See Solution

Problem 2116

What is the sum of 9260 and 3240? Provide your answer with at least three significant figures.

See Solution

Problem 2117

Enter the diameter of a hydrogen atom in meters as $d_{\mathrm{H}}=1.06 \times 10^{-10}$ . Use power of 10 format.

See Solution

Problem 2118

Find the perimeter and area of a rectangle with length $5.50 \mathrm{~m}$ and width $12.0 \mathrm{~m}$ . Also, enter $3.0 \times 10^{12}$ .

See Solution

Problem 2119

Find the perimeter and area of a rectangle with length $5.50 \mathrm{~m}$ and width $12.0 \mathrm{~m}$ .

See Solution

Problem 2120

Calculate the perimeter and area of a rectangle with length $5.50 \mathrm{~m}$ and width $12.0 \mathrm{~m}$ .

See Solution

Problem 2121

What comes next in the series: $a 3 Z, b 6 Y, c 9 X, d 12 W, e 15 V, f 18 U$ ? Options: A. g21T B. $924 \mathrm{U}$ C. $\mathrm{G} 24 \mathrm{~T}$ D. $g 21 t$ E. $\mathrm{f} 21 \mathrm{~T}$ F. $g 24 t$

See Solution

Problem 2122

Is the reverse of "If it is midnight, then the sun is not shining" always true? A. Yes B. No

See Solution

Problem 2123

Find the sixth term in the sequence starting with 5, where each term is $2 \times \text{previous} - 4$ .

See Solution

Problem 2124

Identify the type of reasoning used when deriving truths from a set of rules: A. conductive B. deductive C. conjunctive D. inductive

See Solution

Problem 2125

Find the number of marbles in the sixth line of a pattern starting with 10, decreasing by 1 each line.

See Solution

Problem 2126

What is the inverse of "If I do my homework, then it will snow"? A, B, C, or D?

See Solution

Problem 2127

Identify the converse of "If it is summer, then it is warm outside": A. If warm, then summer; B. If not warm, then not summer; C. If not warm, then summer; D. If warm, then not summer.

See Solution

Problem 2128

What is the term for a proof that assumes the opposite of the conclusion? A. Proof by contradiction B. Proof by syllogism C. Proof by contrapositive D. Proof by inverse

See Solution

Problem 2129

Identify which options can explain a geometric proof: A. Conjecture B. Corollary C. Definition D. Theorem E. Postulate

See Solution

Problem 2130

What is the definition of a theorem? A. Accepted true statement, B. Inductive conjecture, C. Deductive conclusion, D. Geometric term explanation.

See Solution

Problem 2131

Identify which items are accepted without proof in a logical system: A. Postulates, B. Definitions, C. Axioms, D. Theorems.

See Solution

Problem 2132

Identify the geometric object with no dimensions: A. point B. ray C. line D. angle

See Solution

Problem 2133

Factor the expression $21 + 33$ . What is the factored form?

See Solution

Problem 2134

What divides a line segment into two equal parts? A. hashmarks B. arcs C. angle bisector D. midpoint

See Solution

Problem 2135

Calculate the new gravitational force when two objects, initially 1000 N apart at distance D, are separated by D/4.

See Solution

Problem 2136

Calculate the rate of return for 15 shares of Stock A bought at \ $15 each and sold for \$330 with a \$6 commission. Rate of Return$ =[?] \%$

See Solution

Problem 2137

A city inspector found that $41.1\%$ of 500 buildings met readiness conditions with a margin of error of $\pm 5\%$ . What must be true?

See Solution

Problem 2138

Graph Jeriel's temperature data starting at $56^{\circ} \mathrm{F}$ , rising and falling over the day, ending at $60^{\circ}$ .

See Solution

Problem 2139

The Garza family drives to a park. The distance left is $315-55h$ . What does each part of this expression represent?

See Solution

Problem 2140

The length of a rectangle is 2 units less than $\frac{1}{5}$ of the width $x$ . Find the expression for the perimeter.

See Solution

Problem 2141

Identify the expression for "half the sum of 10 and a number": $\frac{1}{2}(10+x)$ , $\frac{1}{2}(10)+x$ , $\frac{1}{2} x+10$ , $\frac{1}{2}+10+x$ .

See Solution

Problem 2142

Allen traveled for 7 hours at 40 mph. How long did Anna take at 50 mph? Set up: $7(40)=x(50)$ . Find $x$ .

See Solution

Problem 2143

Seven less than the quotient of $x$ and 12 equals five times $x$ . Which equation represents this? $\frac{x}{12}-7=5 x$ $7-\frac{x}{12}=5 x$ $\frac{x}{12}-7+5 x$ $7-\frac{x}{12}+5 x$

See Solution

Problem 2144

Identify the components of the cost expression $180 + 15x$ for a soccer goal and balls. What does each part represent?

See Solution

Problem 2145

A hose fills a tank at 20 gallons/min. Convert this to liters/hour using 1 gallon $\approx 3.79$ liters.

See Solution

Problem 2146

The next train arrives in 32 minutes and 30 seconds. Convert this time to seconds.

See Solution

Problem 2147

Monique buys a baseball for \$20, a soccer ball for \$15, and tennis balls for \$12. What is the price after tennis ball discount?
$12(1-y)$

See Solution

Problem 2148

Iris charges a fee plus an hourly rate of $1 \frac{1}{5}$ times her fee. For a 7-hour job, she charged \$470. Find her fee and hourly rate.

See Solution

Problem 2149

An aircraft consumes fuel at $7 \mathrm{lbs} /$ minute. If it used 560 lbs, how long was the flight?

See Solution

Problem 2150

An aircraft has $5400 \mathrm{lbs}$ of fuel and uses $3400 \mathrm{lbs}$ after flying 180 miles. Find the average fuel rate.

See Solution

Problem 2151

List the letters in 'offsetting' using roster or set builder notation. A. The set of letters is B. The set of letters is $\{x \mid x \in A$ and $x=$

See Solution

Problem 2152

Find the complementary angles where one is $(3x-9)^\circ$ and the other is $(6x)^\circ$ . Their sum is $90^\circ$ .

See Solution

Problem 2153

Harry's current age plus his age next year equals 15. How old will he be in 13 years?

See Solution

Problem 2154

Find the supplementary angle if the smaller angle is $(12x+1)^\circ$ . Supplementary angles sum to $180^\circ$ .

See Solution

Problem 2155

The Garza family's distance to the park is $315-55h$ . What do $315$ , $55$ , and $h$ represent?

See Solution

Problem 2156

Janelle hikes a 33-mile trail with a distance ratio walked to left as $4:7$ . How many miles has she walked?

See Solution

Problem 2157

The length of a rectangle is one less than $\frac{1}{6}$ of the width $x$ . What is the perimeter expression?

See Solution

Problem 2158

Find the supplementary angle if one angle is $(17x+5)$ degrees. Their sum is $180^{\circ}$ .

See Solution

Problem 2159

An aircraft used fuel at $7 \mathrm{lbs}/\text{min}$ and consumed $560 \mathrm{lbs}$ . How long was the flight?

See Solution

Problem 2160

Find the coordinate of $Q$ on $\overline{F L}$ where the ratio $FQ:QL$ is $12:7$ , with $F = -15$ and $L = 4$ .

See Solution

Problem 2161

Eight times a number, $x$ , equals one-third of the sum of the number and two. Which equation represents this? $8 x=\frac{1}{3}(x+2)$

See Solution

Problem 2162

Cindy's age, $x$ , is 3 times her age 6 years ago. Which equation is correct?
1. $x=3 x+6$
2. $x=3(x-6)$
3. $x=3-6 x$
4. $x=3 x-6$

See Solution

Problem 2163

Find the coordinates of a station such that the distance from Rolesville $R(1,2)$ to the station and from the station to Townsend $T(8,23)$ is in a $3:4$ ratio.

See Solution

Problem 2164

A factory makes 2 parts/second. How many parts does it produce in a 10-hour shift? Answer in parts per shift.

See Solution

Problem 2165

Identify the components of the expression $60 + 20x$ for the total cost: jeans, shirts, $60$ , $20$ , and $20x$ .

See Solution

Problem 2166

Ben works 4 hours daily and earns the same total as Allen. What is Ben's hourly wage?
Set up: $8(10)=4(x)$ Identify: Ben's wage is the unknown. Strategize: Let $x=$ Ben's unknown wages. Solve: $x=20$ Check: $8(10)=4(20)$

See Solution

Problem 2167

Sofia paraglides from a cliff 840 m high, landing 321 m away. When her travel ratio is $1: 2$ , find her distance from the cliff.

See Solution

Problem 2168

What is the cost of the tennis balls after applying a discount of $y$ percent? Options: $20+15+12$ , $12(1-y)$ , $20(1-x)$ , 12.

See Solution

Problem 2169

Find the midpoint of the segment with endpoints $(5,11)$ and $(3,1)$ .

See Solution

Problem 2170

Find the midpoint of the segment with endpoints $(5,11)$ and $(3,1)$ .

See Solution

Problem 2171

Find the missing endpoint $C$ if $B$ is the midpoint of $\overline{A C}$ , given $A(1,7)$ and $B(-3,1)$ .

See Solution

Problem 2172

Emilio's stock fell by 6 points. What integer shows the change in its value?

See Solution

Problem 2173

Find the missing endpoint $C$ if $B$ is the midpoint of $\overline{A C}$ with $A(-4,2)$ and $B(6,-1)$ .

See Solution

Problem 2174

What is the integer change in Larry's team's points after gaining 15 points for knowing Hawaii was the last state?

See Solution

Problem 2175

What is the elevation of Amsterdam, which is -2 meters? Options: below sea level, at sea level, above sea level.

See Solution

Problem 2176

What number has 4,000 in the thousands place, 100 in the hundreds place, 70 in the tens place, and 3 in the ones place?

See Solution

Problem 2177

Can a car with 30 mpg and a 20-gallon tank drive 252 miles without refueling?

See Solution

Problem 2178

Bestimme die Funktionsgleichung $f(x)=c \cdot a^{x}$ durch die Punkte P und Q. Für welches $x$ gilt $f(x)=256$ ? a) $P(0 \mid 4)$ , $Q(4 \mid 0,5)$ b) $P(0 \mid 0,25)$ , $Q(6 \mid 16)$ c) $P(0 \mid 512)$ , $Q(-3 \mid 8)$

See Solution

Problem 2179

What is the monthly payment for a loan of \$8,712 paid over 36 months?

See Solution

Problem 2180

Find the average score of the last four home games: $69, 79, 58, 66$ . Did they score more at home or away compared to an average of 61?

See Solution

Problem 2181

How much more does an out-of-state resident pay than an in-state resident for 9 credit-hours if rates are \$91 and \$254?

See Solution

Problem 2182

How far do you travel at 75 mph in 3 hours and 20 minutes? Use the formula distance = speed × time.

See Solution

Problem 2183

Find the slope of a line parallel to one that passes through $(2,3)$ and $(3,2)$ .

See Solution

Problem 2184

Find the line parallel to $y=-3x+7$ that passes through the point $(1,3)$ .

See Solution

Problem 2185

The home’s price dropped from \$229,000 to \$198,000 after two reductions. How much was the final reduction?

See Solution

Problem 2186

Find the $y$ -coordinate for the line $x = 2y + 1$ when $x = -1$ .

See Solution

Problem 2187

Find the line equation with slope -3 passing through the point $(1,-2)$ .

See Solution

Problem 2188

Find the distance between the points $(1,2)$ and $(4,6)$ using the distance formula.

See Solution

Problem 2189

Find the equation of the line perpendicular to $2 x=4 y-8$ that passes through the point $(1,2)$ .

See Solution

Problem 2190

Find $y$ for $x=-2$ in the equation $y=3x^{3}-4$ .

See Solution

Problem 2191

Find the midpoint of the line segment between the points $(-2,4)$ and $(2,6)$ .

See Solution

Problem 2192

Determine the behavior of $y$ as $x \to -\infty$ for the equation $y=-x^{3}+3$ .

See Solution

Problem 2193

Find the zeros of the equation $y=4x^{2}-36$ . List the values of $x$ separated by commas.

See Solution

Problem 2194

Find the end behavior of $y$ as $x \to \infty$ for $y = -2x^{2} + 4x + 2$ .

See Solution

Problem 2195

Find the $x$ -coordinate for the line $x=3y-5$ when $y=2$ .

See Solution

Problem 2196

Identify if the following matrices are in reduced echelon form, echelon form, or neither: a. $\begin{bmatrix}1 & 0 & 0 & 0 \\ 0 & 5 & 0 & 0 \\ 0 & 0 & 1 & 1\end{bmatrix}$ b. $\begin{bmatrix}1 & 0 & 1 & 1 \\ 0 & 1 & 1 & 1 \\ 0 & 0 & 0 & 0\end{bmatrix}$ c. $\begin{bmatrix}1 & 3 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1\end{bmatrix}$

See Solution

Problem 2197

Find the line equation with slope -2 passing through the point $(4,-7)$ .

See Solution

Problem 2198

Find the line parallel to $y=3x+6$ that passes through the point $(3,2)$ . What is its equation?

See Solution

Problem 2199

Find the distance between the points $(3,1)$ and $(7,7)$ using the distance formula.

See Solution

Problem 2200

Find the value(s) of $x$ when $y=3$ in the equation $y=2x^2-5$ .

See Solution

1 ...19 20 21 22 23 24 25 ...101

Word Problems

Problem 2101

Find the percentage increase in the couch's price from \$600 to \$720. Show your work without rounding.

Problem 2102

Calculate a 20% tip on a \$46.75 dinner bill. Round the tip to the nearest cent.

Problem 2103

When you multiply a value by 100, the decimal moves two places right. Find the percentage of salt in 125 g seasoning with 74.0 g salt.

Problem 2104

Find the percentage of salt by mass in 125 g of seasoning containing 74.0 g of salt. Express numerically without rounding.

Problem 2105

The equation 10x=1010 x=1010x=10 has how many solutions?

Problem 2106

Calculate Lane's running speed in mph using the correct formula involving steps, feet, miles, and minutes.

Problem 2107

In a college of 20.40 students, if 50% are male, how many female students are there? Round to the nearest integer.

Problem 2108

Elaine has a 20-yard long garden for 7 rows of flowers. How wide should each row be? Calculate using 20 yards÷720 \text{ yards} \div 720 yards÷7.

Problem 2109

In a college with 2940 students, if 50%50\%50% are male, how many female students are there? Provide an integer answer.

Problem 2110

What comes next in the series: a11, A12, b21, B22, c31, C32? A. C33\mathrm{C} 33C33 B. D33 C. d33d 33d33 D. d41d 41d41 E. D41 F. c33

Problem 2111

Find the next number in the series: 2,6,12,…2, 6, 12, \ldots2,6,12,…

Problem 2112

What is the reasoning called when you form general ideas from experiences: A. conjunction B. conduction C. induction D. deduction?

Problem 2113

If a gross equals 144 items, how many dozens are in a gross of eggs? Express your answer in dozens.

Problem 2114

In induction, you can form a guess about a pattern known as a CCC. What is it? A. conjunction B. conjugation C. conjecture D. congruence

Problem 2115

Problem 2116

What is the sum of 9260 and 3240? Provide your answer with at least three significant figures.

Problem 2117

Enter the diameter of a hydrogen atom in meters as dH=1.06×10−10d_{\mathrm{H}}=1.06 \times 10^{-10}dH​=1.06×10−10. Use power of 10 format.

Problem 2118

Find the perimeter and area of a rectangle with length 5.50 m5.50 \mathrm{~m}5.50 m and width 12.0 m12.0 \mathrm{~m}12.0 m. Also, enter 3.0×10123.0 \times 10^{12}3.0×1012.

Problem 2119

Find the perimeter and area of a rectangle with length 5.50 m5.50 \mathrm{~m}5.50 m and width 12.0 m12.0 \mathrm{~m}12.0 m.

Problem 2120

Calculate the perimeter and area of a rectangle with length 5.50 m5.50 \mathrm{~m}5.50 m and width 12.0 m12.0 \mathrm{~m}12.0 m.

Problem 2121

What comes next in the series: a3Z,b6Y,c9X,d12W,e15V,f18Ua 3 Z, b 6 Y, c 9 X, d 12 W, e 15 V, f 18 Ua3Z,b6Y,c9X,d12W,e15V,f18U? Options: A. g21T B. 924U924 \mathrm{U}924U C. G24 T\mathrm{G} 24 \mathrm{~T}G24 T D. g21tg 21 tg21t E. f21 T\mathrm{f} 21 \mathrm{~T}f21 T F. g24tg 24 tg24t

Problem 2122

Is the reverse of "If it is midnight, then the sun is not shining" always true? A. Yes B. No

Problem 2123

Find the sixth term in the sequence starting with 5, where each term is 2×previous−42 \times \text{previous} - 42×previous−4.

Problem 2124

Identify the type of reasoning used when deriving truths from a set of rules: A. conductive B. deductive C. conjunctive D. inductive

Problem 2125

Find the number of marbles in the sixth line of a pattern starting with 10, decreasing by 1 each line.

Problem 2126

What is the inverse of "If I do my homework, then it will snow"? A, B, C, or D?

Problem 2127

Identify the converse of "If it is summer, then it is warm outside": A. If warm, then summer; B. If not warm, then not summer; C. If not warm, then summer; D. If warm, then not summer.

Problem 2128

What is the term for a proof that assumes the opposite of the conclusion? A. Proof by contradiction B. Proof by syllogism C. Proof by contrapositive D. Proof by inverse

Problem 2129

Identify which options can explain a geometric proof: A. Conjecture B. Corollary C. Definition D. Theorem E. Postulate

Problem 2130

What is the definition of a theorem? A. Accepted true statement, B. Inductive conjecture, C. Deductive conclusion, D. Geometric term explanation.

Problem 2131

Identify which items are accepted without proof in a logical system: A. Postulates, B. Definitions, C. Axioms, D. Theorems.

Problem 2132

Identify the geometric object with no dimensions: A. point B. ray C. line D. angle

Problem 2133

Factor the expression 21+3321 + 3321+33. What is the factored form?

Problem 2134

What divides a line segment into two equal parts? A. hashmarks B. arcs C. angle bisector D. midpoint

Problem 2135

Calculate the new gravitational force when two objects, initially 1000 N apart at distance D, are separated by D/4.

Problem 2136

Calculate the rate of return for 15 shares of Stock A bought at \15eachandsoldfor$330witha$6commission.RateofReturn15 each and sold for \$330 with a \$6 commission. Rate of Return 15eachandsoldfor$330witha$6commission.RateofReturn=[?] \%$

Problem 2137

A city inspector found that 41.1%41.1\%41.1% of 500 buildings met readiness conditions with a margin of error of ±5%\pm 5\%±5%. What must be true?

Problem 2138

Graph Jeriel's temperature data starting at 56∘F56^{\circ} \mathrm{F}56∘F, rising and falling over the day, ending at 60∘60^{\circ}60∘.

Problem 2139

The Garza family drives to a park. The distance left is 315−55h315-55h315−55h. What does each part of this expression represent?

Problem 2140

The length of a rectangle is 2 units less than 15\frac{1}{5}51​ of the width xxx. Find the expression for the perimeter.

The equation $10 x=10$ has how many solutions?

Elaine has a 20-yard long garden for 7 rows of flowers. How wide should each row be? Calculate using $20 \text{ yards} \div 7$ .

In a college with 2940 students, if $50\%$ are male, how many female students are there? Provide an integer answer.

What comes next in the series: a11, A12, b21, B22, c31, C32? A. $\mathrm{C} 33$ B. D33 C. $d 33$ D. $d 41$ E. D41 F. c33

Find the next number in the series: $2, 6, 12, \ldots$

In induction, you can form a guess about a pattern known as a $C$ . What is it? A. conjunction B. conjugation C. conjecture D. congruence

Enter the diameter of a hydrogen atom in meters as $d_{\mathrm{H}}=1.06 \times 10^{-10}$ . Use power of 10 format.

Find the perimeter and area of a rectangle with length $5.50 \mathrm{~m}$ and width $12.0 \mathrm{~m}$ . Also, enter $3.0 \times 10^{12}$ .

Find the perimeter and area of a rectangle with length $5.50 \mathrm{~m}$ and width $12.0 \mathrm{~m}$ .

Calculate the perimeter and area of a rectangle with length $5.50 \mathrm{~m}$ and width $12.0 \mathrm{~m}$ .

What comes next in the series: $a 3 Z, b 6 Y, c 9 X, d 12 W, e 15 V, f 18 U$ ? Options: A. g21T B. $924 \mathrm{U}$ C. $\mathrm{G} 24 \mathrm{~T}$ D. $g 21 t$ E. $\mathrm{f} 21 \mathrm{~T}$ F. $g 24 t$

Find the sixth term in the sequence starting with 5, where each term is $2 \times \text{previous} - 4$ .

Factor the expression $21 + 33$ . What is the factored form?

Calculate the rate of return for 15 shares of Stock A bought at \ $15 each and sold for \$330 with a \$6 commission. Rate of Return$ =[?] \%$

A city inspector found that $41.1\%$ of 500 buildings met readiness conditions with a margin of error of $\pm 5\%$ . What must be true?

Graph Jeriel's temperature data starting at $56^{\circ} \mathrm{F}$ , rising and falling over the day, ending at $60^{\circ}$ .

The Garza family drives to a park. The distance left is $315-55h$ . What does each part of this expression represent?

The length of a rectangle is 2 units less than $\frac{1}{5}$ of the width $x$ . Find the expression for the perimeter.

Identify the expression for "half the sum of 10 and a number": $\frac{1}{2}(10+x)$ , $\frac{1}{2}(10)+x$ , $\frac{1}{2} x+10$ , $\frac{1}{2}+10+x$ .

Allen traveled for 7 hours at 40 mph. How long did Anna take at 50 mph? Set up: $7(40)=x(50)$ . Find $x$ .

Seven less than the quotient of $x$ and 12 equals five times $x$ . Which equation represents this? $\frac{x}{12}-7=5 x$ $7-\frac{x}{12}=5 x$ $\frac{x}{12}-7+5 x$ $7-\frac{x}{12}+5 x$

Identify the components of the cost expression $180 + 15x$ for a soccer goal and balls. What does each part represent?

A hose fills a tank at 20 gallons/min. Convert this to liters/hour using 1 gallon $\approx 3.79$ liters.

Monique buys a baseball for \$20, a soccer ball for \$15, and tennis balls for \$12. What is the price after tennis ball discount?
$12(1-y)$

Iris charges a fee plus an hourly rate of $1 \frac{1}{5}$ times her fee. For a 7-hour job, she charged \$470. Find her fee and hourly rate.

An aircraft consumes fuel at $7 \mathrm{lbs} /$ minute. If it used 560 lbs, how long was the flight?

An aircraft has $5400 \mathrm{lbs}$ of fuel and uses $3400 \mathrm{lbs}$ after flying 180 miles. Find the average fuel rate.

List the letters in 'offsetting' using roster or set builder notation. A. The set of letters is B. The set of letters is $\{x \mid x \in A$ and $x=$

Find the complementary angles where one is $(3x-9)^\circ$ and the other is $(6x)^\circ$ . Their sum is $90^\circ$ .

Find the supplementary angle if the smaller angle is $(12x+1)^\circ$ . Supplementary angles sum to $180^\circ$ .

The Garza family's distance to the park is $315-55h$ . What do $315$ , $55$ , and $h$ represent?

Janelle hikes a 33-mile trail with a distance ratio walked to left as $4:7$ . How many miles has she walked?

The length of a rectangle is one less than $\frac{1}{6}$ of the width $x$ . What is the perimeter expression?

Find the supplementary angle if one angle is $(17x+5)$ degrees. Their sum is $180^{\circ}$ .

An aircraft used fuel at $7 \mathrm{lbs}/\text{min}$ and consumed $560 \mathrm{lbs}$ . How long was the flight?

Find the coordinate of $Q$ on $\overline{F L}$ where the ratio $FQ:QL$ is $12:7$ , with $F = -15$ and $L = 4$ .

Eight times a number, $x$ , equals one-third of the sum of the number and two. Which equation represents this? $8 x=\frac{1}{3}(x+2)$

Cindy's age, $x$ , is 3 times her age 6 years ago. Which equation is correct?
1. $x=3 x+6$
2. $x=3(x-6)$
3. $x=3-6 x$
4. $x=3 x-6$

Find the coordinates of a station such that the distance from Rolesville $R(1,2)$ to the station and from the station to Townsend $T(8,23)$ is in a $3:4$ ratio.

Identify the components of the expression $60 + 20x$ for the total cost: jeans, shirts, $60$ , $20$ , and $20x$ .

Ben works 4 hours daily and earns the same total as Allen. What is Ben's hourly wage?
Set up: $8(10)=4(x)$ Identify: Ben's wage is the unknown. Strategize: Let $x=$ Ben's unknown wages. Solve: $x=20$ Check: $8(10)=4(20)$

Sofia paraglides from a cliff 840 m high, landing 321 m away. When her travel ratio is $1: 2$ , find her distance from the cliff.

What is the cost of the tennis balls after applying a discount of $y$ percent? Options: $20+15+12$ , $12(1-y)$ , $20(1-x)$ , 12.

Find the midpoint of the segment with endpoints $(5,11)$ and $(3,1)$ .

Find the midpoint of the segment with endpoints $(5,11)$ and $(3,1)$ .

Find the missing endpoint $C$ if $B$ is the midpoint of $\overline{A C}$ , given $A(1,7)$ and $B(-3,1)$ .

Find the missing endpoint $C$ if $B$ is the midpoint of $\overline{A C}$ with $A(-4,2)$ and $B(6,-1)$ .