8th Grade Math Review Units 1 - 6

Unit 1-Expressions and Equations

100

Solve for x: 3x+8=23

x =5

200

Solve for x in 5(2x - 7) + 2x = 65 + 2x

x = 10

300

Solve the following equation:

3(x - 4) + 2x = 13

x = 5

400

The temperature in Kansas was 104˚F. Convert this temperature to Celsius.   Use the formula 

C  =5/9(F-32)

C = 40

500

Evaluate the following expression if 

a = 12, b = 5, and c = 4.

3c + bc – 2a 

8

Unit 2- Angles

100

Angles opposite two intersecting lines are called...

Vertical Angles

200

If m<A = 22^o and m<B = 68^o, what is their angle relationship?

Complementary angles

300

Find the supplement of <B if m<B = 88^o

92^o

400

Two angles are complementary. One angle is represented by (4x + 10)° and the other angle is represented by (6x – 20)°. Find the measure of both angles

50 and 40

500

If two angles are alternate interior and the 

m<1=(8x-10) and the m<2=(3x+50),

find the measure of <1

<1 = 86

Units3/4-Exponents and Scientific Notation

100

Convert to Scientific Notation: 26,870

2.687 x 10⁴

200

Which is larger: 67,000 or 6.7 x 10³

67,000?

300

Simplify:  4² ∙ 4⁴ ∙ 4⁷ 

A) 4¹³

B) 64¹³

C) 4⁵⁶

D) 16¹³

A

400

Which expression is equivalent to (6x³)²?

A) 36x⁵

B) 12x⁶

C) 6x⁶

D) 36x⁶

D

500

Evaluate 

   (2x)⁰ – 8⁰ + 3x⁰

3

Unit 5- Functions

100

Which equation represents a line with a slope of 3 and a y-intercept of -2?

y = 3x - 2

200

Is the following relation a function? Explain Why

{ (0,2) (2,5) (6,5) (7,12) (10,33) }

Yes, Each x-value is paired with one y-value

300

Presidential Plumbing service charges $35 per hour plus a $50 travel fee to come to your house.  Which equation models the total cost, y, for Presidential Plumbing to service your house for x hours?

A) y = 50x + 35

B) y = 35x + 50

C) x = 35y + 50

D) x = 50y + 35

B

400

Which ordered pair is a solution to the equation       y = x - 2?

A) (-1, 3)

B) (0, 2)

C) (1, -1)

D) (2, 1)

C

500

Write the equation below in slope-intercept form. Then, state the slope and y -intercept.

2y + 4x = 8

y = -2x + 4 

Slope: -2

Y-Intercept : 4

Unit 6-Linear Equations

100

What is the slope of a vertical line?

Undefined

200

Find the slope given two points: (2,4) and (5,1).

-1

300

Determine the solution, if any, to the equation.      

3x + 6 + x = 2(2x + 3)

Infinite Solutions

400

What is the value of y in the following system of equations?

 2x + 3y = 6

-2x + y = –2

y = 1

500

Solve the following system of equations.                   

2x + 5y = 27

  y = x + 4

(1,5)