Download Unit 1 Test Review

Algebra 1
Test REVIEW-Unit One
Name_____________________ Hr_________
Choose the statement that represents the first step in solving the equations. Circle your answer choice.
(1 point each)
5x + 3 = 29
1.
a.
b.
c.
d.
2.
Add 3 to both sides
Subtract 3 from both sides
Divide by 5 on both sides
Subtract 5 from both sides
a.
b.
c.
d.
𝑛
15 = − 1
3
Add 1 to both sides
Subtract 1 from both sides
Divide by 3 on both sides
Multiply by 3 on both sides
Solve each equation. Show each step. (4 points each)
6x + 1 = 5x – 2
3.
6. 7x – 5(x + 2) = -6
9.
𝑛
4
− 3 = −6
1
2
+ 2𝑛 = + 3𝑛
5.
7. 6m – 8 = 6m + 4 + 4m
8.
4.
10.
5
3
𝑛−3
4
= −6
2
3
𝑥=8
6(x - 5) = 4x + 9 + 2x
Simplify each expression. Show each step. (3 points each)
11. (-7m + 2) – (2m + 3)
12. (-x + 5y) + (4x + 8y)
Evaluate the expression for the given value of the variables. (3 points)
13.
6y - 5(x -3)
when x= 3 and y =7
Complete each problem as directed.
14. Which number does not belong in the given set and why?
-5,
3
, 𝜋, √25,
4
(3 points)
7.85
15. Identify the set of numbers that best describes values used in each situation, and explain why.
(3 points each)
a. Money spent on a clothes in a department store
b. Number of cards in a deck
c. Recipe for chocolate cake
16. Write and solve an equation to find x and the length of each side in ABC when the perimeter is 52 cm.
(5 points)
A
x + 10
x + 10
B
C
2x
17. Nicole worked 20 hours per week at a snow cone stand making 7.75 per hour. She also babysat for $10
per hour and her hours varied every week. Nicole wants to earn $250 per week during the summer. How
many hours will she have to babysit to meet her goal?
Write an equation showing Nicole’s weekly earnings and solve to find out how many hours a week she will
have to babysit. (5 points)
18. An even integer can be represented by the expression 2n, where n is any integer. Write an equation and
solve to find the sum of three consecutive even integers that have a sum of 54. (5 points)
19) (1 point each)