Free Printable Algebra Nation

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Algebra Nation

Total questions: 25

Worksheet time: 57mins

Name

Class

Date

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

10.95x + 12.57 = 89.22

12.57x + 10.95 = 89.22

89.22x -10.95 = 12.57

12.57 + 10.95 = 89.22

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents this relationship.

y = 8.5 + 25.5

y = 8.5x + 25.5

y = 8.5 + 25.5x

y = 8.5x + 25.5x

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. The equation was: 6x+7=331. How many students were in each bus?

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

7x + 35 = 63

7x = 63

7x - 35 = 63

35x + 7 = 63

Mr. Piper's plumbing needed repairs. The plumber charged $98 for parts plus $45 per hour for labor. If the bill totaled $458, how could I find out the hours of labored required?

98x + 45 = 458

98 + 45x = 458

45 + 98 = 458

45x - 98 = 458

Solve : 4(4+4x)=96

1.5

Find the value of r in 4=2r-10

Solve :7 (1 + 2n) = -105

-8

90909090909

Find the value of K

K/4 + 3 = 14

10.

Solve.

2x - 3 + 4x = 27

11.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 7 = 3(x - 3) + 2

one

no solutions

infinite solutions

12.

Do I need to flip my sign?
-3x ≥ 12

Yes

13.

Solve and graph the inequality.
77 ≤ 5 + 8n

14.

S = 3F - 24 Solve for F

F = (S + 24)/3

F = S/3 + 24

F = 3S + 24

F = 3(S + 24)

15.

pV = nRT
solve for R

R= pV/nT

R= p/n + V/T

R= pV - nT

R= (pV-n)/T

16.

Solve -2 = 4r + s for s.

s = -2 + 4r

s = 2 - 4r

s = -2 - 4r

s = 2 + 4r

17.

Identify the solutions to 2x(x-4)(x+2)=0

2,3,

1,-2,3

0,-2,4

-2,4

18.

Solve for the values of x:
(2x - 1)(x + 4) = 0

{ 1/2, -4 }

{ 1/2, 4 }

{ 2, -4 }

{ -2, 4 }

19.

What is the name of this property?

Zero Exponent Property

Zero Product Property

Commutative Property

Zero Sum Property

20.

Which equation matches the table?

y = x + 5

y = 5x

y = x - 5

x = y - 5

21.

How many blocks will be in the 4th term?

The next term will have 16 blocks

The next term will have 15 blocks.

The next term will have 14 blocks.

This is the end of the pattern.

22.

The sign below means...
≥

Greater Than

Less Than

Greater Than or Equal to

Less Than or Equal to

23.

What value(s) for g make the equation true?

g² + 5 = 41

-6

-18

24.

What property is used in the following statements?

3x + 7 = 88

3x + 7 - 7 = 88 - 7

Addition Property of Equality

Distributive Property

Multiplication Property of Equality

Subtraction Property of Equality

25.

Match the graph with the given solution.

100 %

Algebra Nation

Total questions: 25

Worksheet time: 57mins

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