Quarter Review

Operations with Rational Numbers

100

The temperature was -8^o F at 6:00am. It rose 22^o F by 3:00pm. What was the temperature at 3:00pm?

 What is 14^o F

200

Annalise earned $36.82 at her part time job, and earned some money from babysitting. If Annalise earned a total of $55.32 from both jobs, how much money did she earn from baby sitting?

(hint: $55.32= 36.82+X)

What is $18.50 

300

Find 

 -3(5/9)+1(2/9) 

Write in simplest form.

What is 

-(7/3) or -2(1/3)

400

Evaluate x - y if x = -25 and y = -36

What is 11

500

Evaluate the expression -5xz if x = -2, y = 3, and z = -1. Write the product in simplest form. 

What is -10

600

Solve and write in simplest form.

(1/3)(-2.75)

What is 

-(11/12)

Simplify & Add Algebraic Expressions

100

Combine the like terms of the following expression

6n - 1 - 8n + 9

What is -2n + 8

200

Simplify a - 6 - 4a + 24

What is -3a+18

300

Use the distributive property to expand 

4(-3x+6)

What is 

-12x + 24

400

Add the expressions 

(4x + 2) + (5x - 7) 

What is 

9x + (-5) or 9x - 5

500

Distribute then add the following expressions 

4(-2x + 10) + (-8x-1)

What is 

-16x + 39

600

Simplify this expression. Write the answer in factored form. 

2(-8x-3)+18x

What is 2(x-3)

Simplify & Subtract Algebraic Expressions

100

Find the additive inverse of 

5x - 7 

What is 

-5x + 7

200

Find 

(6x + 5) - (3x - 2) 

What is 

3x + 7

300

Find

-(-7x - 14) - (x - 5)

What is 

6x+19

400

Find 

3(-5x-9)-(-6x-1)

What is 

-9x-26

500

Find 

8(8x+4)-5(6x-2)

What is 

34x+42

600

Simplify the following expression 

3(9x-3)+7(-6x+4)

What is 

-15x+19

Factor Linear Expressions

100

Complete the prime factorization for each term

18a

20ab

What is 

18a=2*3*3*a

20ab=2*2*5*a*b

200

Factor the expression

12a+6b

What is 

6(2a)+6b or 6(2a+b)

300

Factor 

8x-14

What is  

2(4x-7) or 2(4x)-2(7)

400

Factor

64xy+16x

What is

8(8xy+2x) or 8(8xy)+8(2x)

500

Factor the following expressions

45xy-81y 

60x+36

What is 

9(5xy-9y)

12(5x+3)

600

Factor the following expression

25x+14y

Cannot be factored 

Solving Equations

100

Solve 

x+64=-6

What is 

x=-70

200

Solve

-3x+4=-8

What is 

x=4

300

Solve 

2(4x-1)=62

What is

x=8

400

Solve 

3(2x+4)+3x=-69

What is 

x=-9

500

Solve 

2(4x+6)-5(3x-4)=-17

What is

x=-7

600

Solve the following expression

2(5x+3x)-6=150

What is 

x=9