8th Grade Pre-Algebra Semester Exam Review

Fractions

100

1/3 + (-9/20) 

-7/60

200

3/4 - (-5/12) 

1 and 1/6

300

3 and 1/2 + (-4 and 3/8)

-7/8

400

5 and 1/12 - (-2 and 6/7) 

7 and 79/84

500

3 and 1/3 x (-2/5)

-1 and 1/3

Equations

100

3x + 7 = -x - 1

x = -2

200

1 - 2x + 5 = 4x - 3

x = 3/2

300

-2x - 6 = 2 - 4x - (x - 1)

x = 3

400

3x - 4 + 1 = -2x - 5 + 5x

No Solution

500

1/2x + 2/3 = 3/4

x = 1/6

Simplifying Expressions

100

3y + 2y + y² + 5 + y

y² + 6y + 5

200

3y² + 2xy + 1 + 3x + y + 2x²

Not Possible 

300

2/3x - 3y + 1/3x + 2y

x - y

400

3x² - 5x - 4 + xy - (2xy + 2x²)

x² - 5x - 4 - xy

500

2 (3x - 4) - 7(9 - x) + 3x

16x - 71

Systems of Equations

100

y = 7x - 5

y= -2x + 13

(2, 9)

200

y = 3x - 1

y= 3x + 2

No Solution

300

To rent a jet ski at Sam's costs $25 + $3 per hour. At Claire's it costs $5 + $8 per hour. At how many hours will the rental cost at both shops be equal? 

(4, 37) 

400

y = x + 4

2x + y = 7

(1, 5)

500

x + 2y = 4 

x + 2y = 6

No Solution 

Christmas

100

In Home Alone, where are the McCallisters going on vacation when they leave Kevin behind? 

Paris

200

Which Hollywood actor played six different roles in The Polar Express? 

Tom Hanks

300

What was the real name of the character Tim Allen plays in the Santa Clause? 

Scott Calvin

400

What was the highest-grossing Christmas movie of all time? 

Home Alone

500

In the movie Elf, what was the first rule of "The Code of Elves?" 

Treat every day like Christmas