Free Printable A1 U1 Test REVIEW

1.

Identify the coefficient in the expression
4m + n + 2

a)

2

b)

4

c)

m

d)

n

2.

How many terms are in the expression
3x + 2y + z

a)

5

b)

2

c)

4

d)

3

3.

Identify the variables in the expression
3x + 9

a)

x

b)

y

c)

9

d)

3x

4.

How many terms are in the expression
3a + 2b + c + 100

a)

3

b)

4

c)

5

d)

6

5.

A term can be made up of which of the following?

a)

a number

b)

a variable

c)

a coefficient with a variable

d)

all of the above

6.

Identify the constant in the expression
4y + 2 + x

a)

x

b)

y

c)

4y

d)

2

7.

Which term contains a coefficient?
m + 3n + p + 3

a)

m

b)

3n

c)

p

d)

3

8.

How is the number 9 best described in the expression
9m + 3n + 4

a)

coefficient

b)

variable

c)

constant

d)

term

9.

The number before a variable is the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

10.

A letter that represents a number is called a _____.

a)

variable

b)

coefficient

c)

constant

d)

term

11.

A number with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

12.

What is the coefficient of x?
8 + 5x - y

a)

8

b)

1

c)

5

d)

-5

13.

What is the coefficient in this expression?
3x+4-2

a)

x

b)

4

c)

3x

d)

3

14.

In the expression 4x - 12, what is 4x?

a)

coefficient

b)

constant

c)

term

d)

variable

15.

How many terms are in the following expression?
7y + 3 - 7k -2

a)

2

b)

7

c)

4

d)

3

16.

x,y,a,s,t... These are called

a)

terms

b)

variables

c)

constants

d)

coefficients

17.

How many constants are in the following expression?
5b + 3 - 4k + 6

a)

3

b)

6

c)

2

d)

4

18.

What is 8 in the following expression?
72B - 8 + 9h + 2

a)

constant

b)

variable

c)

expression

d)

coefficient

19.

In the following expression, how many variables are there?
8y + 7j - 2 + 4u

a)

7

b)

4

c)

3

d)

8

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

a)

A

b)

B

c)

C

d)

D

24.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

25.

(2x+6)(2x-6)

a)

4x²+24x-36

b)

6x+12

c)

4x²-36

d)

2x+6+2x-6

26.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

27.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 4y²- y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

28.

Find the product.
(2y - 7)(3y + 5)

a)

y²+ 2y + 4

b)

6y² -11y -35

c)

-35 -11y + 6y²

d)

2y²-17y +30

29.

Simplify the following expression
(r² + s²) – (5r² + 4s²)

a)

–4r² +5s²

b)

–4r² – 3s²

c)

–5r⁴ – 4s⁴

d)

–4r² + 3s²

30.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 4y²- y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

31.

(x - 4)(x - 6)

a)

x² -10x + 24

b)

x² - 10x - 24

c)

x² +10x + 24

d)

x² + 10x - 24

32.

Simplify. Write your answer in standard form.
(2x²-4y+7xy-6y²) - (-3x²+5y-4xy+y²)

a)

-5x² + 9y - 11xy + 7y²

b)

-x² + y + 3xy - 5y²

c)

-x² - 9y + 11xy - 7y²

d)

5x² - 9y + 11xy - 7y²

33.

Simplify:

a)

10a² - 4a - 4

b)

24a³ - 16a² + 8a + 4

c)

24a³ + 8a² + 6a + 4

d)

24a³ - 4a² + 8a

34.

Combine Like Terms:

2x² + 3x - 4 - x² + 5x + 3

a)

x² + 8x -1

b)

3x² + 8x + 7

c)

-x² - 8x + 1

d)

x² + 8x + 7

35.

Multiply: 5a²(7a³- 4a² + a - 2)

a)

35a⁵ - 20a⁴ + 5a³ - 10a²

b)

12a⁵ - 9a⁴ +5a³ - 7a²

c)

35a⁶ -20a⁴ + 5a² - 10

36.

$\left(2x^2+x+5\right)\cdot\left(x+1\right)$ Choose the box that represents the situation.

a)

b)

c)

37.

$Simplify.\ \ \left(3x-y\right)\left(3x+y\right)$

a)

$9x^2-y^2$

b)

$9x^2+y^2$

c)

$9x^2-6xy-y^2$

d)

$6x^2-6xy+y^2$

38.

Multiply.
(b+3)(b²+2b+1)

a)

b³+6b²+6b+3

b)

b³+5b²+7b+3

c)

4b³+8b²+3b

d)

3b³+6b²+3b

39.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

40.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

41.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

42.

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b² + 21

c)

33b - 19

d)

-47b -19

43.

Multiply the Polynomials
2a²(3a - 5)-6a(8a² - 2a + 4)

a)

-42a³ + 2a²- 24a

b)

6a³- 10a²

c)

-48a³+ 12a²- 24a

d)

-42a³ - 22a² + 24a

44.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

45.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

46.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

47.

Find the product:
(2x+3)²

a)

2x+3+2x+3

b)

4x²+12x+9

c)

4x²+9

d)

16x²+9

48.

Multiply the Polynomials
2a²(3a - 5)-6a(8a² - 2a + 4)

a)

-42a³ + 2a²- 24a

b)

6a³- 10a²

c)

-48a³+ 12a²- 24a

d)

-42a³ - 22a² + 24a

49.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

50.

find f(-2) if f(x) = (x-3)²

a)

-25

b)

25

c)

1

d)

-1

51.

What is the inverse operation of addition?

a)

addition

b)

subtraction

c)

multiplication

d)

division

52.

Which property is shown below?
__________________________
If t = 72, then t + 16 = 88 can be rewritten as 72 + 16 = 88

a)

Addition Property

b)

Substitution Property

c)

I Do What I Want Property

d)

Associative Property

53.

Which property is shown below?
__________________________
8 x 20 = 20 x 8

a)

Reflexive

b)

Symmetric

c)

Gucci

d)

Commutative

54.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

55.

Identify the property you would use to solve this equation:
4x = 72

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

56.

Identify the property you would use to solve this equation:
y – 7 = 28

a)

Additive Property of Equality

b)

Subtraction Property of Equality

c)

Multiplicative Property of Equality

d)

Division Property of Equality

57.

Name the first property you will use to solve this equation:
3(x – 7) = 42

a)

Multiplication Property of Equality

b)

Commutative property

c)

Associative Property

d)

Distributive Property

58.

Name the property described:
If PQ = RS then RS = PQ

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

59.

If a = b, then a may be replaced by b in any expression.

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Substitution Property

60.

For any numbers a, b, and c, if a = b and b = c, then a = c.

a)

Transitive Property

b)

Symmetric Property

c)

Reflexive Property

d)

Substitution Property

61.

For any number a, a = a.

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Substitution Property

62.

Which property is shown below?
__________________________
4(x+6) = 4x + 4(6)

a)

Reflexive

b)

Distributive

c)

Transitive

d)

Substitution

63.

Which property is shown below?
__________________________
If t = 72, then t + 16 = 88 can be rewritten as 72 + 16 = 88

a)

Addition Property

b)

Substitution Property

c)

I Do What I Want Property

d)

Associative Property

64.

What property would I use to solve this equation?
7 + x = 14

a)

Multiplication Property

b)

Subtraction Property

c)

Division Property

d)

Substitution Property

65.

Which property is shown below?
__________________________
If 35a = 70 then 35ac = 70c

a)

Division Property

b)

The Hi-C Property

c)

Multiplicative Inverse Property

d)

Multiplication Property

66.

What property of equality states that the expressions on both sides of the equation may be interchanged?

a)

Transitive Property of Equality

b)

Substitution Property

c)

Reflexive Property of Equality

d)

Symmetric Property of Equality

67.

x²+ 3 = 10

a)

EXPRESSION

b)

EQUATION

68.

x-4=26; where x=20

Is x=20 a solution or not?

a)

No. It is not a solution.

b)

Yes. It is a solution.

69.

If m+a=27 and a=4

then m+4=27

a)

REFLEXIVE PROPERTY

b)

TRANSITIVE PRPERTY

c)

SUBSITUTION PROPERTY

d)

SYMMETRIC PROPERTY

70.

If two quantities are both equal to a third quantity, then they are equal to each other.

a)

TRANSITIVE PROPERTY

b)

SYMMETRIC PROPERTY

c)

REFLEXIVE PROPERTY

d)

SUBSTITUTION PROPERTY

71.

$1234=1234$

a)

SUBSTITUTION PROPERTY

b)

REFLEXIVE PROPERTY

c)

TRANSITIVE PROPERTY

d)

SYMMETRIC PROPERTY

72.

If x+13=27

then 27=x+13

a)

TRANSITIVE PROPERTY

b)

SUBSTITUTION PROPERTY

c)

REFLEXIVE PROPERTY

d)

SYMMETRIC PROPERTY

73.

If a=27, b=27 then a=b

a)

REFLEXIVE PROPERTY

b)

TRANSITIVE PROPERTY

c)

SUBSITUTION PROPERTY

d)

SYMMETRIC PROPERTY

74.

$86=86$

a)

REFLEXIVE PROPERTY

b)

TRANSITIVE PROPERTY

c)

SUBSITUTION PROPERTY

d)

SYMMETRIC PROPERTY

75.

$x^2\ +3x-4$

a)

EXPRESSION

b)

EQUATION

76.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

77.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

78.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

79.

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

a)

4

b)

3

c)

2

d)

1

80.

2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

81.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

82.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

83.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

84.

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

a)

4

b)

3

c)

2

d)

1

85.

Solve for x.

a)

55

b)

60

c)

15

d)

35

86.

What is the solution?

a)

x = 4

b)

x = 6

c)

x = 96

d)

x = 144

87.

Solve the equation:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

88.

10 + 2x = 16

a)

2

b)

3

c)

4

89.

Solve the equation:
7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

90.

6x - 4 = 8x

a)

2

b)

-2

c)

3

d)

0

91.

19h - 7 = 23 + 14h

a)

h= -6

b)

h = 6

c)

all real numbers

d)

no solution

92.

Solve for x
-2x + 4 = 5 - 3x

a)

x=-1

b)

x=-5

c)

x=5

d)

x=1

93.

Solve for x
6x + 28 = 12 + 2x

a)

4

b)

-4

c)

-2

d)

6

94.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

95.

6x + 3(-x + 11) = 3

a)

-10

b)

10

c)

15

d)

-15

96.

a)

0

b)

1

c)

2

d)

4

97.

Solve the equation
4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

98.

2x - 3 + 4x = 27

a)

x= 12

b)

x = 4

c)

x = 5

d)

x = 15

99.

-7x - 36 = 20 -3x

a)

-12

b)

-14

c)

15

d)

8

100.

-49 - x = -8x + 70

a)

15

b)

17

c)

14

d)

19

101.

a)

4

b)

2

c)

-2

d)

-4

102.

a)

-4

b)

-2

c)

-6

d)

-8

103.

2(x + 6) + 3 = 9 + 5x

a)

16

b)

2

c)

-8

d)

-10

104.

Solve for y:

5x + y = 16

a)

y = -5x + 16

b)

y = 5x + 16

c)

y = 5y - 16

d)

y = -5x - 16

105.

Solve -2 = 4r + s for s.

a)

s = -4r + 2

b)

s = 4r - 2

c)

s = -4r - 2

d)

s = 4r + 2

106.

Solve:

a - b + c = 9 , for a

a)

a = b - c + 9

b)

a = b + c - 9

c)

a = b + c + 9

d)

a = b - c - 9

107.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

d)

x = vy + b

108.

Solve:
12x - 4y = 20 , for y

a)

y = 3x - 5

b)

y = -3x + 5

c)

y = -3x - 5

d)

y = 3x + 5

109.

S = 3F - 24 Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

110.

Solve for x: u = 2x - 2

a)

$x\ =\ u-1$

b)

$x\ =\ \frac{2}{u}\ +2$

c)

x $x\ =\ \frac{\left(u-2\right)}{2}$

d)

$x\ =\ \frac{u}{2}+1$

111.

Solve for a: $u\ =\ \frac{\left(ak\right)}{b}$

a)

a = ukb

b)

a = uk + b

c)

$a\ =\ \frac{\left(ub\right)}{k}$

d)

$a\ =\ \frac{k}{ub}$

112.

$x\ =\ \frac{\left(4-k\right)}{6}$

Solve for k:

a)

$k=6x\ -4$

b)

$k\ =\ \frac{\left(x-6\right)}{4}$

c)

k = 24-x

d)

$k=\ 4-6x$

113.

$Given\ mx+4y=3t,\ solve\ for\ x.$

a)

$x=\ \frac{3t+4y}{m}$

b)

$x=\frac{3t-4y}{m}$

c)

$x=\frac{3m-4y}{t}$

d)

$x=\frac{3y+4t}{m}$

114.

$Given\ 8x+4y=16,\ solve\ for\ y.$

a)

$y=-2x+4$

b)

$y=-8x+16$

c)

$y=2x-4$

d)

$y=-8x+12$

115.

f(x) = x+7 find f(1)

a)

5

b)

6

c)

7

d)

8

116.

f(x) = x+7 find f(4)

a)

11

b)

12

c)

9

d)

10

117.

f(x) = x-5 find f(9)

a)

4

b)

14

c)

9

d)

13

118.

f(x) = x-5 find f(8)

a)

5

b)

3

c)

9

d)

13

119.

f(x) = x-5 find f(0)

a)

4

b)

-5

c)

5

d)

-4

120.

f(x) = x-5 find f(-2)

a)

-7

b)

3

c)

7

d)

-3

121.

f(x) = x-9 find f(-1)

a)

-10

b)

8

c)

-8

d)

10

122.

f(x) = x-9 find f(4)

a)

-13

b)

5

c)

-5

d)

13

123.

f(x) = x-2 find f(4)

a)

-2

b)

6

c)

2

d)

4

124.

f(x) = x+8 find f(-4)

a)

-2

b)

6

c)

2

d)

4

125.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

126.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

127.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

128.

What is the domain?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,\infty\right)$

e)

None of the answer choices

129.

What is the range?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

None of the answer choices

e)

$\left[-3,\ \infty\right)$

130.

What is the domain?

a)

$\left(\infty,-2\right]$

b)

$\left[-2,\ \infty\right)$

c)

[-2,3]

d)

$\left(-\infty,\ -2\right]$

e)

None of the answer choices

131.

What is the range of the graph?

a)

(-∞,∞)

b)

[-1,0]

c)

[-1,3]

d)

[3,∞)

132.

What is the domain of the function?

a)

(3, ∞)

b)

[-3, ∞)

c)

(-∞, 4]

d)

(-∞, 4)

133.

What is the domain?

a)

(-3 , 3)

b)

[-4, 5]

c)

(-4, 5)

d)

(-3, 3]

134.

What is the range?

a)

(-3, 3)

b)

[-4, 5)

c)

[-4 , 5]

d)

(-3 , 3]

135.

What is the domain of the graph?

a)

[1,∞)

b)

(-∞,1]

c)

(-∞,∞)

d)

[-∞,∞]

136.

What is the range of the graph?

a)

[1, ∞)

b)

(1, ∞)

c)

(-∞, ∞)

d)

none of these

137.

What is the domain of the graph?

a)

[ -∞, ∞]

b)

(-∞,∞)

c)

[-3 , 3]

d)

[-15, 9]

138.

What is the range of the graph?

a)

[-15, 9]

b)

(-∞, ∞)

c)

(-15, ∞)

d)

[-15, ∞)

139.

The set of all y-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

140.

What is the range of the graph?

a)

(-∞,∞)

b)

[0,∞)

c)

(0,5)

d)

[-1,∞)

141.

In interval notation, positive and negative ∞ are always closed in by ______.

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Brackets

142.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

143.

The set of all x-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

144.

a)

{-2, 3, 7}

b)

[-2, 7]

c)

{1, 2, 3, 4}

d)

[1, 4]

145.

What is the range of the table?

a)

{-4, 0, 1, 3}

b)

{-2, 0, 2, 3}

c)

{-4, -2, 0, 1, 2, 3}

d)

{ (0, 0), (2, -4), (3, 3), (-2, 1) }

146.

What is the domain of the relation shown in the table?

a)

{12}

b)

{6, 18}

c)

{3, 9, 15, 16}

d)

{13}

147.

Does the graph represent a function?

a)

Yes

b)

No

148.

Which relation is shown in the graph?

a)

{(4, -5), (0, -1), (-1, 3), (5, 3)}

b)

{(-5, 4), (-1, 0), (3, -1), (3, 5)}

c)

{(5, -4), (1, 0), (-3, 1), (-3, -5)}

d)

{(-4, 5), (0, 1), (1, -3), (-5, -3)}

149.

What is the domain of the graph?

a)

[-3, 3]

b)

(3, -3]

c)

(-3, 3)

d)

(2, 10]

150.

Find the Domain.

a)

\left(-\infty,\ +\infty\right)

b)

$\left(3,\ +\infty\right)$

c)

$\left(0,\ +\infty\right)$

d)

$\left[0,\ +\infty\right)$

151.

What is the Domain?

a)

All real numbers

b)

x > 3

c)

x = 4

d)

x ≥ 3

152.

What is the range for the given function?

a)

all real numbers

b)

$\left[-4,\ 0\right)$

c)

$\left[-4,\ 0\right]$

d)

$\left(-\infty,\ 0\right]$

153.

What is the range?

a)

$\left[-\infty,+\infty\right]$

b)

[-2, 2]

c)

$\left(-\infty,\ +\infty\right)$

d)

[0, 2]

A1 U1 Test REVIEW

Total questions: 153

Worksheet time: 5hrs 16mins

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