# Algebra and Expression

Topics: Algebra, Harshad number, Sentence Pages: 3 (305 words) Published: September 9, 2014

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Algebra I Quarter 1 Exam
Answer the questions below. Make sure to show your work when applicable.

Solve the absolute value equation. Check your solutions.
| 5x + 13| = –7
5x + 13 = -7
5x = -20
X = -4

Simplify the expression below.
6n2 - 5n2 + 7n2
6 – 5 + 7 = 8
=8n2

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

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

Solve the inequality. Show your work.
6y – 8 ≤ 10
5. 6y – 8 ≤ 10
6y ≤ 10 +8
6y ≤ 18
y ≤ 18/6
=y ≤ 3

The figures above are similar. Find the missing length. Show your work.
x = 1.8 in

What is 30% of 70? Show your work.
30 divied by100 = .30
70 times 0.3(30% as a decimal) which will be 21
=21

Simplify the expression below.
-5-8
(16x9)/(21x8)=144/168 divided by 12=12/14=6/7
8. 6/7

Which property is illustrated by 6 x 5 = 5 x 6?
commutative property of multiplication

Evaluate the expression for the given values of the variables. Show your work. 4t + 2u2 – u3; t = 2 and u = 1
4t + 2u2 – u3; t = 2 and u = 1
4 (2) + 2 (1) 2 – (1) 3
8 + 2 – 1 = 1

Solve the inequality. Show your work.
|r + 3| ≥ 7
R + 3 = 7, r = - 10 and r =4

What percent of 60 is 12? Show your work.
20% of 60. 12 / 60 * 100 = 20

Simplify the expression below.
√169
=13

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

Simplify the expression below. Show your work.
–(–7y +...