IMSA Algebra and Linear Equations 2

Question 1

Solve for x: (x/3) + 4 = 7

Accepted Answer

x = 9

Answer

Subtracting 4 gives x/3 = 3, then multiplying by 3 gives x = 9.

Question 2

What is the y-intercept of the line 5x - 2y = 10?

Accepted Answer

(0, -5)

Answer

Setting x = 0 gives -2y = 10, so y = -5, making the y-intercept (0, -5).

Question 3

If f(x) = 3x - 2, what is f(4)?

Accepted Answer

10

Answer

f(4) = 3(4) - 2 = 12 - 2 = 10.

Question 4

Which value of x satisfies |2x - 6| = 8?

Accepted Answer

x = 7 or x = -1

Answer

2x - 6 = 8 gives x = 7, and 2x - 6 = -8 gives x = -1.

Question 5

Two consecutive integers have a sum of 53. What is the larger integer?

Accepted Answer

27

Answer

If n and n+1 are consecutive integers, then 2n + 1 = 53, giving n = 26 and n+1 = 27.

IMSA - Intermediate Math Skill Assesment Practice Test