Question 1

Which of the following expressions correctly represents the sum of three times a number, eight times a number, and ten?

Accepted Answer

$$3x + 8x + 10$$

Question 2

Simplify the expression: $$-3(5 - 2x) + 4x$$

Accepted Answer

$$-15 + 10x$$

Question 3

Which of the following is the correct simplification of $$2x - 3x + 4x - x$$?

Accepted Answer

Question 4

If $$x = 3$$, what is the value of $$2x^2 - 5x + 4$?

Accepted Answer

$$2(3)^2 - 5(3) + 4 = 18 - 15 + 4 = 7$

Question 5

Which of the following is the correct translation for 'the product of 4 and the sum of a number and 7'?

Accepted Answer

$$4(x + 7)$$

Question 6

Simplify: $$-2[3x - (4 - x)]$$

Accepted Answer

$$-2[3x - 4 + x] = -2[4x - 4] = -8x + 8$$

Question 7

Which of the following expressions represents 'nine subtracted from the product of six and a number'?

Accepted Answer

$$6x - 9$$

Question 8

Evaluate $$-3[2 - (4 - x)]$$ when $$x = 5.$$

Accepted Answer

$$-3[2 - (4 - 5)] = -3[2 - (-1)] = -3[3] = -9$$

Question 9

Which of the following is the correct simplification of $$-2x + 3x - 4x + 5$$?

Accepted Answer

$$-2x + 3x - 4x + 5 = -3x + 5$$

Question 10

A number multiplied by 4 is subtracted from the sum of 42 and eight times the number. Which expression represents this situation?

Accepted Answer

$$42 + 8x - 4x$$

Question 11

Simplify: $$3(2x + 4) - (6 + 9x)$$

Accepted Answer

$$6x + 12 - 6 - 9x = -3x + 6$$

Question 12

Which of the following is the correct simplification of $$-4(x - 2) + 3(x + 5)$$?

Accepted Answer

$$-4x + 8 + 3x + 15 = -x + 23$$

Question 13

If $$x = -2$$, what is the value of $$5x^2 - 3x + 1$?

Accepted Answer

$$5(-2)^2 - 3(-2) + 1 = 20 + 6 + 1 = 27$

Question 14

Which of the following is the correct translation for 'the difference of a number and 7, multiplied by 3'?

Accepted Answer

$$3(x - 7)$$

Question 15

Simplify: $$-2[4 - (3x - 5)]$$

Accepted Answer

$$-2[4 - 3x + 5] = -2[9 - 3x] = -18 + 6x$$

Question 16

Which of the following expressions represents 'the sum of a number and 12, divided by 3'?

Accepted Answer

$$\frac{x + 12}{3}$$

Beginning & Intermediate Algebra: Chapter 1 Review Guidance

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