IMSA Algebra and Linear Equations 3

Question 1

Solve the inequality: 4x - 3 > 13

Accepted Answer

x > 4

Answer

Adding 3 gives 4x > 16, then dividing by 4 gives x > 4.

Question 2

What is the value of y in the equation 2y + 5 = 3y - 7?

Accepted Answer

y = 12

Answer

Subtracting 2y from both sides gives 5 = y - 7, so y = 12.

Question 3

A car rental costs $25 per day plus $0.10 per mile. Which equation represents the total cost C for d days and m miles?

Accepted Answer

C = 25d + 0.10m

Answer

The total cost is the daily rate times days plus the per-mile rate times miles: C = 25d + 0.10m.

Question 4

If y = 2x + 1, what is x when y = 15?

Accepted Answer

x = 7

Answer

Substituting y = 15 gives 15 = 2x + 1, so 2x = 14, meaning x = 7.

Question 5

What is the slope of a line perpendicular to y = (1/4)x + 3?

Accepted Answer

−4

Answer

A perpendicular slope is the negative reciprocal of 1/4, which is -4.

IMSA - Intermediate Math Skill Assesment Practice Test