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Math 8
Name: _____________________________
Review for Test
Date: _________ Group: ______________
Evaluate each expression. Write all answers in fractional form (no
decimals).
4-1 = _____
2-4 = _____
5-2 = _____
3
0
 1
  = _____
3
7
35 = _____
(-3) = _____
-43 = _____
3
 1
  =____
4
Evaluate each expression for the given values of the variables. Be sure to
show the substitution and work completed to evaluate the expression.
(x – y)3 if x = 7, y = 4
(4x2y3)0 if x = 3 and y = 2
Write each number using scientific notation.
80,120,000,000 = _______________
0.00002340700 = _______________
0.00000000002304 = ____________
10,000,300,000,000 = ___________
Write each number in standard form.
1.453  10-7 = _______________
2.901  1012 = _______________
6.04  109 = _______________
7.61  10-14 = ________________
Simplify each expression. Express using exponents. Use positive
exponents only!!!!
Hint: When in doubt…stretch it out!
3
4
5
m · n · m =_____
5
x · x = _____
n 12
= _____
n3
x 20
= _____
x 20
84
= _____
83
(25)2 = _____
n 10
= _____
n 20
(n 3 ) 4
= _____
n3
(2x2)3 = _____
(-3x4)3 = _____
7x3  12x2 = _____
5x(2x2)3 = _____
6n 2
= _____
3n
8 xy 2
= _____
12 x 3 y
12km 3
= _____
 4m 3
4
3 2
(11m )(6m p ) = _____
4x 2 y 2
= _____
12 x 5 y 3
2 4
3ab(2ab ) = _____
Simplify each expression.
(x2 + 2x + 7) + (4x2 + x – 3)
(5x2 – 9) + (-3x2 + 5x + 9)
(4x2 – 6x + 5) – (8x2 + x + 3)
(-2x2 – 7x +3) – (-5x2 + 3x – 7)
2x(x + 9)
(x + 1)(x + 5)
5x3(x + 6)
2x(x2y2 + xy – 4)
(2x – 1)(10x – 4)
4x(2x2 + x - 3)
(x + 3) (x2 + 7x - 6)
8a2 - 12a
4a
2x 3  8 x 2  4 x
2x
20 xy  4 xz
4x
Solve and Check.
6(x – 3) = 4(x + 3)
3x + 4 + 2x = 34
Write an equation for each table below.
x
0
1
2
3
4
y
3
5
7
9
11
y = _______
 x + _______
Rate of
change
Starting
point
x
-1
1
3
4
6
y
5
9
13
15
19
y = _______
 x + _______
Rate of
change
Starting
point
Graph the equation using the slope and y-intercept.
y = 2x + 1
m = ____ up or down
right or left
b = _____
Define the following terms.
Simplify: ______________________________________________________________
Monomial:_____________________________________________________________
Polynomial: ___________________________________________________________
Exponent: _____________________________________________________________