Free Printable Algebra Midterm Review

1.

A repeating decimal or decimal that terminates is called a

a)

Natural Number

b)

Irrational Number

c)

Rational Number

d)

Whole Number

2.

What are your counting numbers (1,2,3...)?

a)

Rational Numbers

b)

Whole Numbers

c)

Natural Numbers

d)

Irrational Numbers

3.

A number can be rational and irrational.

a)

True

b)

False

4.

The set of rational numbers includes all the following except...

a)

- 42

b)

$\pi$

c)

0

d)

14.7

5.

All whole numbers are integers.

a)

False

b)

True

6.

Classify the number:

a)

rational, real

b)

whole, Integer, rational, real

c)

integer, irrational, real

d)

irrational, real

7.

Which statement is NOT true?

a)

Every rational number is a real number.

b)

Every counting number is a whole number.

c)

Every integer is a rational number.

d)

Every decimal number is an irrational number.

8.

Identify the rational numbers. (click all that apply)

a)

$\sqrt{4}$

b)

$\pi$

c)

$3.5$

d)

$\sqrt{2}$

e)

$\frac{2}{3}$

9.

Once simplified, is this number rational or irrational? $\sqrt{2}\cdot\sqrt{2}$

a)

Rational

b)

Irrational

10.

True or False

Rational + Rational = Rational

a)

True

b)

False

11.

Rational + Irrational = ______________

Example:

\frac{1}{4}+\sqrt{5}\ =2.486067...

a)

Rational

b)

Irrational

12.

Irrational $\times$ Irrational = ___________

Examples:

\sqrt{5}\times\left(-\sqrt{5}\right)=\ -5

\pi\times\sqrt{2}=6.283185...

a)

Rational

b)

Irrational

c)

Rational or Irrational

13.

Which statement is not always true?

a)

The product of two irrational numbers is irrational.

b)

The product of two rational numbers is rational.

c)

The sum of two rational numbers is rational.

d)

The sum of a rational number and an irrational number is irrational.

14.

The sum of $\sqrt{9}$ and $\frac{2}{3}$ is

a)

irrational because both numbers are irrational

b)

rational because both numbers are rational

c)

irrational because one number is irrational

d)

rational because one number is rational

15.

Classify the number: √49

a)

natural, whole, integer, rational, real

b)

irrational, real

c)

whole, integer, rational, real

d)

rational, real

16.

Simplify:
√45

a)

9√5

b)

3√5

c)

5√9

d)

3√15

17.

Simplify:
3√16

a)

12

b)

48

c)

√12

d)

3√4

18.

Simplify:
√96

a)

16√6

b)

6√16

c)

9√6

d)

4√6

19.

Simplify the radical expression:
$2\sqrt{48}$

a)

$4\sqrt{3}$

b)

$8\sqrt{3}$

c)

$2\sqrt{3}$

d)

$3\sqrt{8}$

20.

Simplify the radical:
$7\sqrt{124}$

a)

$2\sqrt{31}$

b)

$7\sqrt{31}$

c)

$14\sqrt{31}$

d)

$28\sqrt{31}$

21.

$5\sqrt{2}+4\sqrt{2}$

a)

$9\sqrt{4}$

b)

$9\sqrt{2}$

c)

$20\sqrt{2}$

22.

$3\sqrt{20}+4\sqrt{5}$

a)

$10\sqrt{5}$

b)

$16\sqrt{5}$

c)

$7\sqrt{25}$

23.

$10\sqrt{45}-\sqrt{20}$

a)

$32\sqrt{5}$

b)

$88\sqrt{5}$

c)

$28\sqrt{5}$

24.

Simplify:
√10 ⋅ √45

a)

3√50

b)

8√2

c)

√450

d)

15√2

25.

Simplify:
6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

26.

Find the area of the rectangle shown.

a)

18√20

b)

12√10 + 6√2

c)

9√12

d)

36√5

27.

Simplify.

$\frac{1}{\sqrt[]{3}}$

a)

$\frac{\sqrt[]{3}}{3}$

b)

$\frac{2\sqrt[]{3}}{3}$

c)

$\frac{\sqrt[]{2}}{5}$

d)

$\frac{\sqrt[]{6}}{3}$

28.

Simplify.

$\frac{\sqrt[]{8}}{\sqrt[]{12}}$

a)

$-2\sqrt[]{2}$

b)

$\frac{\sqrt[]{6}}{3}$

c)

$\frac{\sqrt[]{6}}{2}$

d)

$\frac{\sqrt[]{10}}{2}$

29.

Simplify

a)

1/5

b)

20/100

c)

10/2

d)

1/√25

30.

Simplify
$2\sqrt{6}\left(5\sqrt{3}+4\right)$

a)

$30\sqrt{2}+8\sqrt{6}$

b)

$38\sqrt{8}$

c)

$76\sqrt{2}$

d)

$2\sqrt{30}+6\sqrt{8}$

31.

Simplify
$\sqrt{6}\left(\sqrt{6}+\sqrt{10}\right)$

a)

$6+2\sqrt{15}$

b)

$8\sqrt{15}$

c)

$\sqrt{96}$

d)

$6\sqrt{6}+2\sqrt{15}$

32.

Simplify
$\frac{\sqrt{6}}{\sqrt{50}}$

a)

$\frac{\sqrt{3}}{5}$

b)

$\frac{\sqrt{5}}{3}$

c)

$\sqrt{\frac{3}{25}}$

d)

$\sqrt{\frac{25}{3}}$

33.

Simplify.

$5\sqrt{3}\cdot3\sqrt{2}$

a)

$15\sqrt{6}$

b)

$6$

c)

$\sqrt{5}$

d)

$\sqrt{6}$

34.

Simplify.

$-2\sqrt{3}\cdot3\sqrt{2}$

a)

$\sqrt{5}$

b)

$6$

c)

$-6\sqrt{6}$

d)

$\sqrt{6}$

35.

Which property is shown below?

x + 7 = 7 + x

a)

Commutative

b)

Distributive

c)

Additive Property of Equality

d)

Associative

36.

Which property is shown below?

(x + y) + z = x + (y + z)

a)

Commutative

b)

Distributive

c)

Additive Property of Equality

d)

Associative

37.

Which property is shown below?

5 * 1 = 5

a)

Zero Property

b)

Identity Property of Multiplication

c)

Subtraction Property of Equality

d)

Identity Property of Addition

38.

Which property is shown below?

15 + 0 = 15

a)

Zero Property

b)

Identity Property of Multiplication

c)

Subtraction Property of Equality

d)

Identity Property of Addition

39.

Which property is shown below?

9 * 0 = 0

a)

Zero Property

b)

Identity Property of Multiplication

c)

Subtraction Property of Equality

d)

Identity Property of Addition

40.

Identify the property shown.

a)

Commutative Property of Multiplication

b)

Commutative Property of Addition

c)

Associative Property of Multiplication

d)

Multiplication Property of 5

41.

Identify the property shown.

a)

Associative Property of Addition

b)

Commutative Property of Addition

c)

Distributive Property

d)

Multiplication Property of 1

42.

Choose the property: 3 • (4 • 5) = (3 • 4) • 5

a)

Assosciative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

43.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

44.

(5x+1)(x+4)

a)

5x² + 19x − 4

b)

5x² + 21x + 4

c)

5x² + 4

d)

5x² − 19x − 4

45.

Simplify the expression.
x³(2x²+3x)

a)

2x⁵+3x⁴

b)

2x⁶+3x³

c)

5x⁹

d)

5x

46.

(x-3)(x²+2x+7)

a)

x³-x²+x-21

b)

x³+5x+13x-21

c)

x³-3x²+7x-21

d)

x²+2x-3

47.

(b + 3)(b²+ 2b + 1)

a)

b³+6b²+6b+3

b)

b³+5b²+7b+3

c)

4b³+8b²+3b

d)

3b³+6b²+3b

48.

4x² + 8x - 7 is classified as a...

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Cubic

49.

The binomial 3x² - 4 has degree...

a)

1

b)

2

c)

3

d)

4

50.

This polynomial: 3x²- 4x⁴ + 7x³ - 1 + 5x ,written in standard form would be

a)

3x²- 4x⁴ + 7x³ - 1 + 5x

b)

- 4x⁴ + 7x³ + 3x²+ 5x - 1

c)

- 1 + 5x + 3x²+ 7x³- 4x⁴

d)

7x³+ 5x- 4x⁴+ 3x² - 1

51.

Find the product.

(x - 2)²

a)

x²+ 2x + 2x + 4

b)

x²+ 2x + 2

c)

7x²+ x + 7

d)

x² - 4x + 4

52.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

53.

$\frac{-12a^{4\ }+\ 6a^3}{6a^3}$

a)

$2a$

b)

$-2a+1$

c)

$2a\ +1$

d)

$-2a\ +\ 1a$

54.

Find the volume of the rectangular prism with length ( x + 2) width ( x - 4) and height ( 2x + 1). (HINT: V = lwh)

a)

x² -8x

b)

x² -2x -8

c)

2x³-3x² -18x-8

d)

2x³-8

55.

Find the product:
(2x+3)²

a)

2x+3+2x+3

b)

4x²+12x+9

c)

4x²+9

d)

16x²+9

56.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

57.

Add the following polynomials:
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

58.

Subtract the following polynomials:
(3x²-3x+2) - (x²-2x+1)

a)

2x²+x+1

b)

2x²-5x+3

c)

2x²-x+1

d)

4x²-5x+3

59.

Find the product:
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

60.

Multiply: (x+10)(x-10)

a)

x² - 100

b)

x² + 100

c)

x² + 20x - 100

d)

x² -20x + 100

61.

Factor:

a)

(x + 3)(x + 10)

b)

(x - 3)(x - 10)

c)

(x + 3)(x - 10)

d)

(x - 3)(x + 10)

62.

Factor:

a)

(x + 2)(x + 2) = (x + 2)²

b)

(x - 2)(x - 2) = (x - 2)²

c)

(x + 2)(x - 2)

d)

(x - 2)(x + 2)

63.

Factor:

a)

(x + 6)(x + 8)

b)

(x - 6)(x - 8)

c)

(x + 6)(x - 8)

d)

(x - 6)(x + 8)

64.

Factor:

a)

(x + 3)(x + 6)

b)

(x - 3)(x - 6)

c)

(x + 3)(x - 6)

d)

(x - 3)(x + 6)

65.

Factor:

a)

(x + 9)(x + 6)

b)

(x - 9)(x - 6)

c)

(x + 9)(x - 6)

d)

(x - 9)(x + 6)

66.

Write the following in factored form:

14y + 35x

a)

1(14x + 35y)

b)

7(2x + 5y)

c)

7(2y + 5x)

d)

1(14y + 35x)

67.

Factor:

2x - 8

a)

-2(x+4)

b)

10x

c)

2(x-4)

d)

4x

68.

Factor:

21x - 36

a)

3(7x - 12)

b)

-3(7x + 12)

c)

-15x

d)

21(x - 15)

69.

Factor:

10 + 15p

a)

5(3+p)

b)

5(2+3n)

c)

5(2+3p)

70.

Factor:

15x + 50xy

a)

-5(3 + 10y)

b)

5x(3 - 10y)

c)

5x(3 + 10y)

d)

5xy(3 + 10)

71.

Factor:
x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

72.

Factor Trinomial Completely:
2x² + 12x + 16

a)

2(x + 8)(x + 6)

b)

(2x + 4)(2x + 2)

c)

2(x + 2)(x + 4)

d)

2(x² + 6x + 8)

73.

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

74.

x²- 400

a)

( x - 200) ( x + 200)

b)

( x + 20) ( x + 20)

c)

Prime

d)

( x - 20) ( x + 20)

75.

9x²- 49y⁶

a)

( 3x + 7y³) (3x + 7y³)

b)

( 3x - 7y³) (3x + 7y³)

c)

( 3x - 7y³) (3x - 7y³)

d)

Prime

76.

3x²- 75

a)

3( x + 5 ) ( x - 5 )

b)

Prime

c)

( x + 5 ) ( x - 5 )

d)

3( x - 5 ) ( x - 5 )

77.

Factor completely
2c² + 4c - 84

a)

(c-6)(2c+14)

b)

(c+7)(2x-12)

c)

(c-4)(2c+21)

d)

2(c+7)(c-6)

78.

Factor Completely.
$4x^2+24x-64$

a)

$4\left(x+8\right)\left(x-2\right)$

b)

$4(x^2+6x-16)$

c)

$4\left(x^2+24x-16\right)$

d)

$4\left(x-8\right)\left(x+2\right)$

79.

Factor Completely.
$25x^2-100$

a)

$5\left(x+4\right)\left(x-4\right)$

b)

$5\left(x^2-20\right)$

c)

$25\left(x^2-4\right)$

d)

$25\left(x+2\right)\left(x-2\right)$

80.

3 ( a + 22 ) = 12a = 30

a)

a = 8

b)

a = 2

c)

a = 4

d)

a = -2

81.

4(2a + 3) = −3(a − 1) + 31

a)

a = 4

b)

a = -2

c)

a = -4

d)

a = 2

82.

-4 ( 2x + 9 ) + 3x = 6 - 4 ( x - 3 )

a)

x = 54

b)

x = 24

c)

x = 45

d)

x = 35

83.

5 ( 3h - 9 ) - 12 = 12 - 7 ( h - 9 )

a)

h = 6

b)

h = 4

c)

h = 5

d)

h = 3

84.

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

a)

x = 6

b)

x = -14

c)

x = 9

d)

x = 28

85.

Solve.

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

86.

a)

5

b)

-45

c)

-5

d)

4

87.

Solve for x.

a)

x=10

b)

x=5

c)

x=21

d)

x=17

88.

solve for w

a)

8/3

b)

32/3

c)

5/8

d)

-9/8

89.

Solve the following:

$x-\frac{5}{3}=\frac{7}{4}$

a)

$x=\frac{41}{12}$

b)

$x=\frac{1}{12}$

c)

$x=-\frac{5}{12}$

d)

$x=\frac{35}{12}$

90.

Solve for x:

$\frac{3}{5}x+15=\frac{6}{5}x+12$

a)

$x=5$

b)

$x=-45$

c)

$x=-5$

d)

$x=-\frac{5}{3}$

91.

a)

-17

b)

1

c)

-1

d)

3

92.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

93.

2. Given 15x + 1 = y, solve for x.

a)

$x\ =\frac{y+1}{15}$

b)

$x\ =\frac{y-15}{1}$

c)

$x\ =\frac{y-1}{15}$

d)

$x\ =\frac{y+15}{1}$

94.

$Given\ d=rt,\ solve\ for\ r.\$

a)

$r=\frac{t}{d}$

b)

$t\ =\ \frac{d}{r}$

c)

$d=\frac{r}{t}$

d)

$r=\frac{d}{t}$

95.

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

a)

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

b)

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

c)

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

d)

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

96.

$Solve:\ C=2\pi r,\ for\ r$

a)

$r=\frac{C}{2\pi}$

b)

$r=C+2\pi$

c)

$r=C-2\pi$

d)

$r=2\pi C$

97.

$Solve\ C=\frac{5}{9}\left(F-32\right),\ for\ F.$

a)

$F\ =\ \frac{5}{9}C+32$

b)

$F\ =\ \frac{5}{9}C-32$

c)

$F\ =\ \frac{9}{5}C-32$

d)

$F\ =\ \frac{9}{5}C+32$

98.

Solving the formula P = 2L + 2W for W is NOT equivalent to which equation?

a)

$W=\frac{\left(P-2L\right)}{2}$

b)

$W=(1/2)P-L$

c)

$W=\frac{P}{2}-\frac{2L}{2}$

d)

$W=P-(1/2)L$

99.

Solve for $\pi$

$A\ =\ \pi r^2$

a)

$\pi=Ar^2$

b)

$\pi=\ \frac{A}{r^2}$

c)

$\pi=\ A\ -\ r^2$

d)

$\pi=\ A\ +\ r^2$

100.

Solve for x.

$y\ =\ \frac{x\ -\ v}{b}$

a)

$x\ =\ yb\ -\ v$

b)

x = by + v

c)

$x\ =\ \frac{b}{y}-v$

d)

$x\ =\ vy\ +\ b$

101.

Solve for M

$D\ =\ \frac{M}{V}$

a)

$M\ =\ D-V$

b)

$M\ =\ D\ +V$

c)

$M\ =\ DV$

d)

$M\ =\ \frac{D}{V}$

102.

Solve for a.

a)

$a\ =\ pw$

b)

$a\ =\ \frac{p}{w}$

c)

$a\ =\ \frac{w}{p}$

d)

$a\ =\ w+p$

103.

Solve the literal equation for the given variable.

a)

$b=\frac{2A}{h}$

b)

$b=\frac{2}{h}$

c)

$b=2Ah$

d)

$b=\frac{Ah}{2}$

104.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

105.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

106.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

107.

x is no more than 13

a)

x < 13

b)

x > 13

c)

x ≥ 13

d)

x ≤ 13

108.

You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?

a)

x<10

b)

x>10

c)

x>10

d)

x<10

109.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

110.

$4(2a+3)<3(a-1)$

a)

$a<-3$

b)

$a>-3$

c)

$a<3$

d)

$a>3$

111.

Solve: $7(x+3)<5x+13$

a)

$x>-4$

b)

$x<17$

c)

$x<-4$

d)

$x>-17$

112.

Ann wants to spend at most $8.50 on school supplies. She needs to purchase a binder (costs $6.89) and wants to spend the rest on pens, which cost $0.59 each. Which inequality represents this situation, where x is the number of pens Ann can buy?

a)

$6.89+8.50x\le0.59$

b)

$8.50+0.59x\le6.89$

c)

$0.59+6.89x\le8.50$

d)

$6.89+0.59x\le8.50$

113.

Adam works at a video game store Mon-Fri. He earns $80 per day plus $8 per video game sold. On Thursday, he makes at least $176. Which solution represents the possible number of video games Adam sold?

a)

$22$

b)

$12$

c)

$21$

d)

14

114.

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?

a)

$520x+6\le1000$

b)

$520+6x\ge1000$

c)

$520x+6\ge1000$

d)

$520+6x\le1000$

115.

Express the following in Interval Notation
-8 ≤ x < 8

a)

[-8, 8]

b)

[-8,8)

c)

(-8, 8]

d)

(-8, 8)

116.

Express the following in algebraic notation:

[3, 5]

a)

3 ≤ x ≤ 5

b)

3 < x ≤ 5

c)

3 ≤ x < 5

d)

3 < x < 5

117.

Look at the picture. Which number line corresponds to [-2, 5]?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

118.

What interval notation does the number line graph represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

d)

(-5, ∞)

119.

Write the following solution in interval notation:

x ≥ -3

a)

[ -3, ∞ )

b)

( -3, ∞ )

c)

( -∞ , -3 )

d)

( -∞ , -3]

120.

When writing a solution in interval notation, what brackets do i use for:

> or <

a)

[ ]

b)

( )

121.

Match the following

a)

$3\le x<7$

1.

$\left[3,7\right)$

b)

$3\le x\le7$

2.

$\left[3,7\right]$

c)

$3<x\le7$

3.

$\left(3,7\right]$

d)

$3<x<7$

4.

$\left(3,7\right)$

122.

Match the following

a)

$-5\le x<11$

1.

$\left[-5,11\right)$

b)

$-5\le x\le11$

2.

$\left[-5,11\right]$

c)

$-5<x\le11$

3.

$\left(-5,11\right]$

d)

$-5<x<11$

4.

$\left(-5,11\right)$

123.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

124.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

125.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

126.

Is the relation a function?

a)

Yes

b)

No

127.

Is this set of ordered pairs a function and how can you tell?

a)

Yes its a function because no y values repeat

b)

No it's not a function because there are negative numbers

c)

No it isn't a function because an x value repeats but has different y values

d)

No it isn't a function because an y value repeats but has different x values

128.

.

a)

Function

b)

Not a Function

129.

Is the relation a function?{(1,5),(1,7),(3,9),(4,11)}

a)

Yes

b)

No

130.

Look at the graph. Is the relation a function?

a)

yes

b)

no

131.

Look at this graph. Is the relation a function?

a)

yes

b)

no

132.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

133.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

134.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

135.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

136.

$Given\ f\left(x\right)=\frac{1}{3}\left(x+6\right)\ what\ is\ f\left(-6\right)?$

a)

$\frac{2}{3}$

b)

$-8$

c)

$-6$

d)

0

137.

$Given\ f\left(x\right)=2x-10\ for\ which\ value\ of\ x\ that\ f\left(x\right)=-12?$

a)

-1

b)

0

c)

2

d)

3

138.

$Given\ f\left(x\right)=2x-10\ for\ which\ value\ of\ x\ that\ f\left(x\right)=8?$

a)

5

b)

10

c)

9

d)

-12

139.

What is f(2)?

a)

-4

b)

8

c)

0

d)

5

140.

For what value of x does f(x) = -2?

a)

0

b)

-5

c)

3

d)

-3

141.

What is the value of f(-5)?

a)

-2

b)

2

c)

4

d)

0

142.

Find f(6)

a)

10

b)

15

c)

20

d)

25

143.

Evaluate f(-2) if f(x) = x+3

a)

-1

b)

1

c)

5

d)

-5

144.

f(x) = x+3

Find x when f(x) = 8

a)

-1

b)

1

c)

5

d)

-5

145.

What is the Domain?

a)

{-3, -1, 1, 3, 5, 7, 9}

b)

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

c)

-3 ≤ x ≤ 3

d)

-3 ≤ x ≤ 9

146.

What is the Range?

a)

y ≥ 6

b)

y ≤ 6

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

147.

What is the domain?

a)

{-4, -1, 0, 2, 7}

b)

{-5, -4, -1, 0, 1, 2, 4, 7}

c)

{-5, 0, 1, 2, 4}

d)

{5}

148.

Find the Range.

a)

All Real numbers

b)

0 < y < 11

c)

y ≥ 0

d)

y > 0

149.

What is the Range?

a)

-3 ≤ y < 2

b)

-3 < y ≤ 2

c)

-7 ≤ y ≤ 2

d)

-7 ≤ y < 2

150.

What is the Domain?

a)

-10 ≤ y ≤ 6

b)

y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All Real Numbers

151.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

152.

What kind of slope does this graph have?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

153.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

154.

What is the y-intercept of the graph shown?

a)

2

b)

-3

c)

$\frac{1}{2}$

d)

3

155.

Which of the following could be the slope-intercept equation of the graph below?

a)

$y\ =\ 4x\ +\ 2$

b)

$y\ =\ -4x\ -\ 2$

c)

$y\ =\ -\frac{1}{4}x\ +\ 2$

d)

$y\ =\ \frac{1}{4}x\ +\ 2$

156.

Which of the following equations best represents the slope-intercept for of the graph?

a)

$y\ =\ 3x\ +\ 2$

b)

$y\ =\ -3x\ -\ 2$

c)

$y\ =\ 3x\ -2$

d)

$y\ =\ -3x\ +2$

157.

Find the slope:

a)

2

b)

-2

c)

1/2

d)

-1/2

158.

Find the slope

a)

$m=\frac{9}{2}$

b)

$m=\frac{3}{6}$

c)

$m=\frac{7}{3}$

d)

$m=\frac{2}{7}$

159.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

160.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

a)

2/11

b)

13/2

c)

3/10

d)

11/2

161.

Find the slope of the line that passes through:
(-2, 8) and (0, 8)

a)

0

b)

-2

c)

2

d)

1/2

162.

Write an equation of the line. (-4,-7) and (-6,9)

a)

y = 8x + 39

b)

y = -8x - 39

c)

y = -8x - 32

d)

y = 8x + 32

163.

Write an equation of the line that passes through (0 , 10) and (6 , 34)

a)

y = 4x + 10

b)

y = 6x + 34

c)

y = 4

d)

y = 6x - 4

164.

What is the Slope-Intercept Form given two points on the line?

a)

y= 2x-9

b)

y= -2x-9

c)

y= -2x+9

d)

y= 2x+9

165.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

166.

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

167.

What is the y intercept of

the line with the equation

y - 6 = -2(x + 5)

a)

-4

b)

-5

c)

-10

d)

6

168.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

169.

What does the slope represent in this situation?

a)

The sloth runs 1 feet in 3 minutes

b)

The sloth runs 3 feet in 1 minute

c)

The sloth runs fast

d)

The sloth runs 6 feet in 1 minute

170.

What is the meaning of the slope?

a)

Colby's initial deposit was $100.

b)

Colby's initial deposit was $150

c)

Colby is adding $5 per week

d)

Colby is adding $10 per week

171.

A taxi service charges a $10 flat fee plus $2 per mile traveled. If an equation is written to calculate the total cost of a taxi ride, what is the y-intercept?

172.

Johnny has to pay $15 for a large pizza and 1.50 for each topping. What is the meaning of the y-intercept?

a)

It cost 1.50 per topping

b)

It cost 1.50 for unlimited toppings

c)

It cost $15 for each topping

d)

The starting cost is $15 for a large pizza with no toppings

173.

Which equation matches the graph?

a)

y = 3x

b)

y = x + 3

c)

y = ⅓x

d)

y = x - 3

174.

Which equation matches the table?

a)

y = x + 4

b)

y = 5x

c)

y = x - 4

d)

y = x + 16

175.

At what rate did the rain fall?

a)

2 cm per hour

b)

¹/₄ cm per hour

c)

¹/₂ cm per hour

d)

4 cm per hour

176.

What is the meaning of the y-intercept?

a)

The weight in the bucket increases by 1 pound per pound of sand.

b)

Before sand is put in the bucket, it weighs 1 pound.

c)

The starting weight of the sand is 1 pound.

d)

The weight in the bucket decreases by 1 pound per pound of sand.

Algebra Midterm Review

Total questions: 176

Worksheet time: 12hrs 36mins

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