Free Printable Algebra End of the Year Review

1.

For membership to an athletic club, it costs $150 to join and $28 per month of membership. Which equation can be used to figure out how many months it will be for the total cost to be $290?

a)

$150m+28=290$

b)

$150+28m=290$

c)

$178m=290$

d)

$150+28+m=290$

2.

What is the first step in solving $4x-3=9$ ?

a)

Divide by 4 on each side of the equation

b)

Subtract 3 from both sides

c)

Add 3 to each side of the equation

d)

Divide each side of the equation by -3

3.

Which value(s) make(s) the inequality $-5+2x<27$ true? SELECT ALL THAT APPLY.

a)

26.2

b)

18

c)

16

d)

11

e)

8.75

4.

Here is Josiah’s work writing the expression $2x-\frac{1}{2}\left(10-4x\right)$ using fewer terms. Describe the mistake that Josiah made.

4 lines

5.

Solve the system of equations: $x + y = 5$ and $x - y = 1$ .

a)

$(2, 3)$

b)

$(3, 2)$

c)

$(4, 1)$

d)

$(1, 4)$

6.

Correct Josiah's work. What should the equivalent expression be? DO NOT INCLUDE SPACES

(a)

7.

Vicente and Zwena are trying to write $9x-2x+4x$ using fewer terms. Vicente says that $9x-2x+4x=3x$ because the subtraction sign tells us to subtract everything that comes after $9x$ . Zwena says that $9x-2x+4x=11x$ because the subtraction only applies to $2x$ . Who is correct?

a)

Vincente

b)

Zwena

c)

Neither

8.

Jamir buys a candle that is 9 inches tall and burns down 0.5 inches per minute. He wants to let the candle burn for x minutes until it is less than 6 inches tall. This story can be represented by $9-0.5x<6$ Solve the inequality.

a)

$x>6$

b)

$x>-6$

c)

$x<6$

d)

$x<-6$

9.

A sales associate has a goal to sell at least 100 products this month. The sales associate has already sold 30 products this month. If the sales associate sells 4 products each day, which inequality represents the possible number of days, x , the sales associate must work to meet the goal?

a)

$4x+30\ge100$

b)

$4x+30\le100$

c)

$30x+4\ge100$

d)

$30x+4\le100$

10.

A sales associate has a goal to sell at least 100 products this month. The sales associate has already sold 30 products this month.

If the sales associate sells 4 products each day, which graph represents the possible number of days, x , the sales associate must work to meet the goal?

HINT: Write and Solve the inequality first.

a)

b)

c)

d)

11.

The perimeter of Triangle ABC is 204 inches. What is the length of segment AC?

a)

35 inches

b)

49 inches

c)

106 inches

d)

140 inches

12.

Select the equation that matches the following story: The temperature outside is currently -7°C. Since midnight, the temperature tripled and then rose 5 degrees.

a)

$5x-7=3$

b)

$3\left(5+x\right)=7$

c)

$3x+5=-7$

d)

$x+7=3\times5$

13.

A lawyer spends $75.00 on 3 staplers and 3 pads of paper. If each stapler costs $21.75, and each pad of paper costs x dollars, which statement is true?

a)

The equation $3x+21.75=75$ can be used to find x, and each pad of paper costs $3.25

b)

The equation $3x+21.75=75$ can be used to find x, and each pad of paper costs $17.75

c)

The equation $3\left(x+21.75\right)=75$ can be used to find x, and each pad of paper costs $3.25

d)

The equation $3\left(x+21.75\right)=75$ can be used to find x, and each pad of paper costs $17.75

14.

x² - 8x + 15 = 0

a)

x = -5, -3

b)

x = 5 , 3

c)

x = -15, 1

d)

x = 7, 8

15.

Solve by factoring or square rooting.

x²- 25 = 0

a)

x = 5, -5

b)

x = 5

c)

x = -5

d)

x = 25

16.

a)

A

b)

B

c)

C

d)

D

17.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

18.

Solve the equation
4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

19.

Solve:
2(4x-3) - 8 = 4 + 2x

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

20.

What is the GCF of 18k and 15k³

a)

3k²

b)

3k³

c)

3k

d)

5k

Algebra End of the Year Review

Total questions: 20

Worksheet time: 20mins

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