Linear Equations Test – Algebra 1 Math (Printable PDF)

Question 1 Variables on both sides (2 points)

Solve 8x − 13 = 3x + 22 and check your answer.

Question 2 Distribute and combine (2 points)

Solve 2(3x − 4) − 5 = 15 − x.

Question 3 Equation with fractions (2 points)

Solve x3 − 12 = 56.

Question 4 Justify the steps (2 points)

Solve 5x + 9 = 3x − 7. Write the property that justifies each step.

Question 5 Number of solutions (2 points)

Decide how many solutions each equation has. Show your work. (a) 3(2x + 5) = 6x + 11 (1 point) (b) 4(x − 2) = 2(2x − 4) (1 point)

Question 6 Moving company (3 points)

Mover A charges $90 plus $35 per hour. Mover B charges $50 plus $45 per hour. (a) Write an equation that says the two costs are equal. (1 point) (b) Solve it. (1 point) (c) Find the cost at that time. (1 point)

Question 7 Pyramid volume formula (3 points)

The volume of a pyramid is V = ⅓Bh. (a) Solve for h. (2 points) (b) Find h when V = 96 and B = 36. (1 point)

Question 8 Perimeter of a triangle (2 points)

The perimeter of the triangle is 40 cm. Find x and the three side lengths.

Question 9 Simple interest (2 points)

Use the formula to solve for the rate.

(a) Solve for r. (1 point) (b) Find r as a percent when I = 135, P = 1,500 and t = 3. (1 point)