This test has 9 questions worth 20 points and takes about 45 minutes. It covers solving multi-step and compound inequalities, graphing on a number line, interval notation and modeling with inequalities. Show all work. Calculators are allowed.
- Grade: Algebra 1
- Chapter: Linear and Compound Inequalities
- Common Core: A-REI.B.3, A-CED.A.1, A-CED.A.3
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 3 pts; Question 6: 3 pts; Question 7: 2 pts; Question 8: 3 pts; Question 9: 1 pt)
Question 1: Solve and graph (2 points)
Solve \(5x-12>3x+6\) and graph the solution.
Question 2: Distribute with a negative (2 points)
Solve \(-3(x-4)\le2x+7\).
Question 3: Negative fraction (2 points)
Solve \(-\frac{3}{4}x+2>8\).
Question 4: Read a compound graph (2 points)
Write the compound inequality shown by the graph and write it in interval notation.
Question 5: Three-part inequality (3 points)
Solve \(-7\le3x-1< 11\) and graph the solution.
Question 6: Either-or inequality (3 points)
Solve \(3x+4\le-5\text{ or }2x-1>7\) and graph the solution.
Question 7: Test a value (2 points)
Consider the inequality \(6-2x\ge10\).
- Determine whether \(x=-2\) is a solution. (1 point)
- Solve the inequality. (1 point)
Question 8: County fair budget (3 points)
Jamal has \(\$40\) for the county fair. Entry costs \(\$12\) and each ride ticket costs \(\$2.50\).
- Write an inequality for the number of tickets \(t\). (1 point)
- Solve it. (1 point)
- State the greatest number of tickets he can buy. (1 point)
Question 9: Special case (1 point)
Solve \(2(x+3)< 2x+4\) and describe the solution.
See every chapter on the Algebra 1 math page.