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Daily Algebra Practice Activities

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Daily Algebra Practice Activities

Simplify expressions, evaluate them at the stated values, and solve equations and inequalities. Show your work for written-response problems.

Expressions and Properties

1.Simplify: 6x + 4 − 2x + 9.

2.Simplify: 3(2y − 5) + 4y.

3.Simplify: 4(a + 2) − (3a − 6).

4.Evaluate 4p − 3q when p = −2 and q = 5.

5.Evaluate r² + 2s when r = 4 and s = −3.

6.Evaluate 3m − n² + 8 when m = −1 and n = 3.

7.Name the property illustrated by the equation: 8 + (k + 2) = (8 + k) + 2.

8.Name the property illustrated by the equation: 7(t + 3) = 7t + 21.

9.Name the property illustrated by the equation: w + 0 = w.

10.Select every expression equivalent to 3(2x + 4).

6x + 12
6x + 4
3 · 2x + 3 · 4
12 + 6x
5x + 12

Equations and Inequalities

11.Solve for x: 4x + 9 = 29.

12.Solve for x: 6(x − 1) = 2x + 14.

13.Solve for x: 3(x + 4) − 2 = 19.

14.Solve the inequality −3x + 5 > 14. Give the solution and graph it on the number line.

15.A student says x = 6 solves 3(x − 2) = 12. Is the student correct? Choose yes or no, then verify by substituting the value.

Algebra in Context

16.A bike shop charges a $7 setup fee and $4 for each accessory installed. Write a rule for the total cost T for a accessories, then find the cost for 6 accessories.

17.Explain how an equation differs from an inequality. Include one example of each.

18.Find all values of x for which x² − 16 = 0. Show how you know.