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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