JM0508824
Score: ______ / ______
Directions: Answer the questions below. Make sure to show your work when applicable.
1. Solve the absolute value equation. Check your solutions.
| 5x + 13| = –7 5x + 13 = -7 5x = -20 X = -4
2. Simplify the expression below.
6n2 - 5n2 + 7n2
6 – 5 + 7 = 8
=8n2
3. The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Write an equation that models the cost of each bracelet.
8 x + 6 = 54 $8.00 each bracelets
4. The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Determine the cost for each bracelet. Show your work
8x+6 =54
8x=54-6
8x = 48
X = 6
5. Solve the inequality. Show your work.
6y – 8 ≤ 10
6y – 18 into y-3
6. The figures below are similar. Find the missing length. Show your work. x = 1.8 in
7. What is 30% of 70? Show your work.
30% - .30
70 x.30 +21
8. Simplify the expression below.
-5-8
=13
9. Which property is illustrated by 6 x 5 = 5 x 6? Commutative property
10. Evaluate the expression for the given values of the variables. Show your work.
4t + 2u2 – u3; t = 2 and u = 1
4 (2) + 2 (1) 2 – (1) 3
8 + 2 – 1 = 1
11. Solve the inequality. Show your work.
|r + 3| ≥ 7
R + 3 = 7, r = - 10 and r =4
12. What percent of 60 is 12? Show your work.
12 = .2
60
.2 = 20%
13. Simplify the expression below. 169
=13
14. Sharon earns $25 per item she sells plus a base salary of $100 per week. Write and solve an inequality to find how many items she must sell to earn at least $700 per week. Provide your conclusion as a complete sentence.
25 x 100 = 700
15. Simplify the expression below. Show your work.
–(–7y + 12) -( - 7y + 12) 7y-12
16. Solve the equation. Show your work.
1a = 618
18=69
9= 18 = 3 6
17.