Math / Geometry

QuestionSKETCHING FIGURES Sketch the lines segments and rays.
21. Sketch and label 3 collinear points A, B, and C. 22. Sketch and label $\overleftrightarrow{M N}$ intersecting $\overleftrightarrow{P Q}$ at R.
23. Draw four points $J, K, L$ , and $M$ , no three of which are collinear. Then sketch $\overrightarrow{J K}, \overline{K L}, \overleftrightarrow{L M}$ , and $\overrightarrow{M J}$ .
24. Evaluate: $8(4)-35+5^{2}$ A. 28 B. 22 C. 2 D. 92
25. Use $x=5$ , to evaluate the expression $4 x+8$ A. 17 B. 28 C. 9 D. 33
26. What is the simplified form of the expression $5(x-2)-5(3+x)$ ? A. -5 B. 5 C. $10 x-25$ D. -25

Studdy Solution

STEP 1

1. We are given a mathematical expression to evaluate: $8(4) - 35 + 5^2$ .
2. We need to follow the order of operations (PEMDAS/BODMAS) to simplify the expression correctly.
3. The final result should be one of the provided options.

STEP 2

1. Simplify the expression $8(4)$ .
2. Simplify the expression $5^2$ .
3. Combine all simplified terms.
4. Compare the result with the provided options.

STEP 3

Simplify the expression $8(4)$ .
$8 \times 4 = 32$

STEP 4

Simplify the expression $5^2$ .
$5^2 = 25$

STEP 5

Combine all simplified terms.
$32 - 35 + 25$

STEP 6

Perform the subtraction first:
$32 - 35 = -3$

STEP 7

Add the result to 25:
$-3 + 25 = 22$

STEP 8

Compare the result with the provided options:
The correct answer is B. 22.

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Studdy Solution

STEP 1

1. We are given a mathematical expression to evaluate: $8(4) - 35 + 5^2$ .
2. We need to follow the order of operations (PEMDAS/BODMAS) to simplify the expression correctly.
3. The final result should be one of the provided options.

STEP 2

1. Simplify the expression $8(4)$ .
2. Simplify the expression $5^2$ .
3. Combine all simplified terms.
4. Compare the result with the provided options.

STEP 3

Simplify the expression $8(4)$ .
$8 \times 4 = 32$

STEP 4

Simplify the expression $5^2$ .
$5^2 = 25$

STEP 5

Combine all simplified terms.
$32 - 35 + 25$

STEP 6

Perform the subtraction first:
$32 - 35 = -3$

STEP 7

Add the result to 25:
$-3 + 25 = 22$

STEP 8

Compare the result with the provided options:
The correct answer is B. 22.

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Studdy Solution

STEP 1

1. We are given a mathematical expression to evaluate: 8(4)−35+528(4) - 35 + 5^28(4)−35+52.2. We need to follow the order of operations (PEMDAS/BODMAS) to simplify the expression correctly.3. The final result should be one of the provided options.

STEP 2

1. Simplify the expression 8(4)8(4)8(4).2. Simplify the expression 525^252.3. Combine all simplified terms.4. Compare the result with the provided options.

STEP 3

Simplify the expression 8(4)8(4)8(4).8×4=32 8 \times 4 = 32 8×4=32

STEP 4

Simplify the expression 525^252.52=25 5^2 = 25 52=25

STEP 5

Combine all simplified terms.32−35+25 32 - 35 + 25 32−35+25

STEP 6

Perform the subtraction first:32−35=−3 32 - 35 = -3 32−35=−3

STEP 7

Add the result to 25:−3+25=22 -3 + 25 = 22 −3+25=22

STEP 8

Compare the result with the provided options:The correct answer is B. 22.

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1. We are given a mathematical expression to evaluate: $8(4) - 35 + 5^2$ .
2. We need to follow the order of operations (PEMDAS/BODMAS) to simplify the expression correctly.
3. The final result should be one of the provided options.

1. Simplify the expression $8(4)$ .
2. Simplify the expression $5^2$ .
3. Combine all simplified terms.
4. Compare the result with the provided options.

Simplify the expression $8(4)$ .
$8 \times 4 = 32$

Simplify the expression $5^2$ .
$5^2 = 25$

Combine all simplified terms.
$32 - 35 + 25$

Perform the subtraction first:
$32 - 35 = -3$

Add the result to 25:
$-3 + 25 = 22$

Compare the result with the provided options:
The correct answer is B. 22.