Linear Equations and Literal Equations: Algebra 1 Math Test – PDF Download

Question 1: Variables on both sides (2 points)

Solve \(5x-8=3x+12\).

Question 2: Distribute and combine (2 points)

Solve \(3(2x-1)-4=5x+2\).

Question 3: Fractions on both sides (2 points)

Solve \(\frac{3}{4}x+2=\frac{1}{2}x-1\).

Question 4: Justify each step (3 points)

Solve \(4(x-1)=2x+10\). Write the property that justifies each step.

Question 5: Solve using a graph (2 points)

The graph shows \(y=x+1\) and \(y=-2x+7\).

1. State the solution of \(x+1=-2x+7\) from the graph. (1 point)
2. Verify the solution algebraically. (1 point)

Question 6: How many solutions? (2 points)

Solve each equation and describe the solution set.

1. \(6x-4=2(3x-2)\)
2. \(5x+1=5x-3\)

Question 7: Rearranging formulas (2 points)

Solve each formula for the variable shown.

1. \(A=\frac{1}{2}bh\) for \(b\)
2. \(3x-2y=12\) for \(y\)

Question 8: Text messages (3 points)

Sofia’s phone plan costs \(\$20\) per month plus \(\$0.05\) per text message. Her bill was \(\$27.50\).

1. Write an equation for the number of texts \(t\). (1 point)
2. Solve the equation. (1 point)
3. Explain what the solution means. (1 point)

Question 9: Garden perimeter (2 points)

A rectangular garden has width \(w\) feet and length \(w+7\) feet. Its perimeter is 62 feet.

1. Write an equation. (1 point)
2. Find the width and length. (1 point)

⬇ Download the Algebra 1 Linear Equations and Literal Equations test (PDF, 87 KB)

See every chapter on the Algebra 1 math page.