IMSA Algebra and Linear Equations

Question 1

Solve for x: 3x + 7 = 22

Accepted Answer

x = 5

Answer

Subtracting 7 from both sides gives 3x = 15, so x = 5.

Question 2

Which of the following is the slope-intercept form of a linear equation?

Accepted Answer

y = mx + b

Answer

y = mx + b is the slope-intercept form where m is the slope and b is the y-intercept.

Question 3

If 2x - 3y = 12 and x = 0, what is the value of y?

Accepted Answer

y = -4

Answer

Substituting x = 0 gives -3y = 12, so y = -4.

Question 4

What is the solution to the system: x + y = 10 and x - y = 4?

Accepted Answer

x = 7, y = 3

Answer

Adding the equations gives 2x = 14, so x = 7, and substituting back gives y = 3.

Question 5

A line passes through (2, 5) and (4, 9). What is its slope?

Accepted Answer

2

Answer

Slope = (9 - 5)/(4 - 2) = 4/2 = 2.

IMSA - Intermediate Math Skill Assesment Practice Test