1. Which of the following expressions is equivalent to 2x + 3y - 4z + 5?

a) 2(x + 3y - 4z + 5)

b) 2(x + 3y) - 4(z + 5)

c) x + 3y - 2z + 10

d) x + 6y - 8z + 10

Answer: D. To simplify the expression, we can distribute the coefficient of each

term by 2.

2. What is the value of x in the equation 3x - 5 = 16?

a) -7

b) -1

c) 1

d) 7

Answer: D. To solve for x, we can add 5 to both sides and then divide by 3.

3. Which of the following is a rational number?

a) √2

b) π

c) -3/4

d) e

Answer: C. A rational number is a number that can be written as a fraction of two

integers. -3/4 is a rational number, but √2, π, and e are irrational numbers.

4. What is the slope-intercept form of the equation of the line that passes through

the points (2, -1) and (4, 3)?

a) y = -2x + 3

b) y = -2x + 5

c) y = 2x - 5

d) y = 2x + 5

Answer: C. To find the slope-intercept form, we can first find the slope of the line

using the formula m = (y2 - y1)/(x2 - x1). Plugging in the given points, we get m =

(3 - (-1))/(4 - 2) = 4/2 = 2. Then, we can use the point-slope form of the equation y -

y1 = m(x - x1) and substitute one of the given points and the slope. For example,

using (2, -1), we get y - (-1) = 2(x - 2). Simplifying, we get y = 2x - 5.

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