Free Printable Algebra I Final Review

1.

What points are shown on the following number line?

a)

-5 ; -2 ; 0 ; 3.5 ; 4

b)

-4.5 ; -3 ; 0 ; 2 ; 5

c)

-4.5 ; -2 ; 0.5 ; 3 ; 5

d)

-4.5 ; -2 ; 0 ; 2 ; 5

2.

Which operation should be completed FIRST to find the value of the expression? 7 - 4 ÷ 2 · 3

a)

7 - 4

b)

4 ÷ 2

c)

2 · 3

3.

Which operation should be completed FIRST to find the value of the expression? 5 - 3 + 2 - 1

a)

5 - 3

b)

3 + 2

c)

2 - 1

4.

Which operation should be completed FIRST to find the value of the expression? 7 - 2(4) + 3

a)

7 - 2

b)

2(4)

c)

4 + 3

5.

Which choice BEST describes the first mistake? 20 ÷ 4 + 6 · 5

a)

The student should not have divided 20 and 4

b)

The student should not have added 5 and 6

c)

The student should not have multiplied 11 and 5

d)

There was no mistake. The work and answer is correct

6.

What is the opposite of -1?

a)

1

b)

-1

c)

0

7.

Which is NOT an expression?

a)

2x² + 3x - 2

b)

3x - 2y

c)

x + 2 = 4

d)

3xy

8.

What is a coefficient?

a)

The letter in an expression

b)

The number in front of the variable

c)

The inequality symbol

d)

The number 1

9.

Use the order of operations (PEMDAS) to simplify. Show work:

(3 + 7) × 2

a)

-8

b)

20

c)

12

d)

17

10.

Use the order of operations (PEMDAS) to simplify. Show work:

(40 ÷ 4) - (9 - 5)

a)

6

b)

2.5

c)

152

d)

14

11.

Use the order of operations (PEMDAS) to simplify. Show work:

(40 ÷ 4) ÷ (9 - 5)

a)

2.5

b)

40

c)

6

d)

14

12.

Use the order of operations (PEMDAS) to simplify. Show work:

32 ÷ 8 + 3 × 7 - 6

a)

19

b)

-23

c)

31

d)

-11

13.

Use the order of operations (PEMDAS) to simplify. Show work:

3² - 8 ÷ 2

a)

5

b)

-2.5

c)

-1

d)

7

14.

What is the result when you use the order of operations (PEMDAS) to simplify:

6 - 3(4 ÷ 2)?

a)

0

b)

3

c)

6

d)

9

15.

Use the order of operations (PEMDAS) to simplify:

21x - 10x

a)

11x

b)

31x

c)

21x

d)

10x

16.

Use the order of operations (PEMDAS) to simplify. What is the simplified form of

3x² + 4y - 2x² + 3y

a)

x² + 7y

b)

5x² + 7y

c)

x² + y

d)

5x² + y

17.

Simplify the expression:

13x - 12 - 5x - (-2)

a)

8x - 10

b)

8x - 14

c)

18x - 10

d)

18x - 14

18.

Simplify the expression:

2(3x + 2y - 2x)

a)

2x + 4y

b)

4x + 4y

c)

2x + 2y

d)

6x + 4y

19.

Simplify the expression:

5n + 7(n - 3)

a)

5n + 7n - 21

b)

12n - 21

c)

5n + 7n + 21

d)

12n + 21

20.

Simplify the expression:

2(x - 4) + 5x - 3x

a)

2x - 8

b)

4x - 8

c)

7x - 8

d)

4x + 8

21.

What is the simplified form of the expression:

1 + 3(x + 5)?

a)

3x + 16

b)

3x + 15

c)

3x + 14

d)

3x + 13

22.

Simplify the expression:

2(x - 2) - 3(2x + 1)

a)

-4x - 4

b)

-4x - 7

c)

-4x + 4

d)

4x - 7

23.

Replace each ______ with one of the symbols < or > to make a true statement:

9 - 8 ___-1

a)

>

b)

<

c)

=

d)

$\le$

24.

Replace each ______ with one of the symbols < or > to make a true statement:

- (7 + 3) ___ | -14 |

a)

>

b)

<

c)

=

d)

$\le$

25.

Replace each ______ with one of the symbols < or > to make a true statement:

-4.3 ___ -4.4

a)

>

b)

<

c)

=

d)

$\le$

26.

Evaluate the expression if e = 2, f = -3, g = 4, u = 0, and w = -1:

5g + 4w

a)

14

b)

16

c)

18

d)

20

27.

Evaluate the expression if e = 2, f = -3, g = 4, u = 0, and w = -1:

(3g) · (e + u)

a)

12

b)

24

c)

8

d)

0

28.

Evaluate the expression if e = 2, f = -3, g = 4, u = 0, and w = -1:

w(w - f) + g

a)

0

b)

1

c)

2

d)

3

29.

Evaluate the expression if e = 2, f = -3, g = 4, u = 0, and w = -1:

$2f^2-w$

a)

17

b)

19

c)

21

d)

23

30.

Translate the phrase into a variable expression using n as your variable:

Three more than a number.

a)

$3+n$

b)

$3-n$

c)

$3\div n$

d)

$3\times n$

31.

Translate the phrase into a variable expression using n as your variable:

Four less than a number.

a)

$n-4$

b)

$n+4$

c)

$n\times4$

d)

$-4-n$

32.

Translate the phrase into a variable expression using n as your variable:

Two more than eight times a number.

a)

$2+8n$

b)

$2\times8n$

c)

$2n\times8$

d)

$2n+8$

33.

Translate the phrase into a variable expression using n as your variable:

The quotient of a number and 5.

a)

$n\times5$

b)

$\frac{n}{5}$

c)

$\frac{5}{n}$

d)

$n-5$

34.

Solve the equation:

$w+4=16$

a)

w = 12

b)

w = -20

c)

w = -12

d)

w = 20

35.

Solve the equation:

$-15+w=6$

a)

w = 21

b)

w = -21

c)

w = -9

d)

w = 9

36.

Solve the equation:

$z-5=8$

a)

z = 13

b)

z = -13

c)

z = 3

d)

z = -3

37.

Solve the equation:

$-2=-9+y$

a)

y = -7

b)

y = 7

c)

y = -11

d)

y = 11

38.

Solve the equation:

$7q=-35$

a)

q = -7

b)

q = 7

c)

q = -5

d)

q = 5

39.

Solve the equation:

$\frac{n}{-2}=-15$

a)

n = 7.5

b)

n = 7.5

c)

n = 30

d)

n = -30

40.

Solve the equation:

$-\frac{2}{3}z=18$

a)

z = -27

b)

z = 27

c)

z = -3

d)

z = 3

41.

Solve the equation:

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

a)

x = 8

b)

x = 0.5

c)

x = -8

d)

x = -0.5

42.

Solve the equation:

$-8x=-72$

a)

x = 9

b)

x = -9

c)

x = -8

d)

x = 8

43.

Solve the equation:

$3x+4=19$

a)

x = 5

b)

x = -5

c)

x = 3

d)

x = -3

44.

Solve the equation:

$5z-13=-3$

a)

z = 2

b)

z = -2

c)

z = 16

d)

z = -16

45.

Solve the equation:

$\frac{1}{4}f-5=-9$

a)

f = -16

b)

f = 16

c)

f = 56

d)

f = -56

46.

Solve the equation:

$\frac{q-5}{3}=8$

a)

q = 29

b)

q = 24

c)

q = 19

d)

q = 26

47.

Solve the equation:

$5x+3x=28$

a)

x = 3.5

b)

x = 4

c)

x = 8

d)

x = 1.5

48.

Solve the equation:

$12x+4-2x=44$

a)

x = 4

b)

x = 40

c)

x = 8

d)

x = 2

49.

Solve the equation:

$3\left(z+7\right)=21$

a)

z = 0

b)

z = 1

c)

z = -1

d)

z = 4

50.

Solve the equation:

$-4\left(z-12\right)=42$

a)

z = 1.5

b)

z = -1.5

c)

z = 6.5

d)

z = 2

51.

Solve the equation:

$33=12r-3(9-r)$

a)

r = 4

b)

r = -4

c)

r = 2

d)

r = -2

52.

Solve the equation:

$12-3x=-6x$

a)

x = -4

b)

x = 4

c)

x = -1.33

d)

x = 1.33

53.

Solve the equation:

$3k+45=8k+25$

a)

k = 4

b)

k = -8

c)

k = 8

d)

k = -4

54.

Solve the equation:

$5q+6=2q-2+q$

a)

q = -4

b)

q = 4

c)

q = -11

d)

q = -6

55.

Solve the equation:

$2\left(4b-6\right)=4(3b-7)$

a)

b = 4

b)

b = -4

c)

b = -6

d)

b = -7

56.

Solve the equation:

$6\left(4x+12\right)=8\left(3x-14\right)$

a)

No Solution

b)

All Real Numbers

c)

x = 72

d)

x = -112

57.

Solve the equation:

$16x+24=8(2x+3)$

a)

No Solution

b)

All Real Numbers

c)

Undefined

58.

Solve the absolute value equation:

|x| = 7

a)

x = 1

b)

x = 7

c)

x = -7

d)

x = -1

59.

Solve the absolute value equation:

|y + 2| = 8

a)

y = 6

b)

y = -10

c)

y = 10

d)

y = -6

60.

Solve the absolute value equation:

|3x + 12| = 0

a)

x = -4

b)

x = 4

c)

x = 0

d)

x = -6

61.

Solve the absolute value equation:

-2|7 - 6x| = 14

a)

No solution

b)

x = -1

c)

x = 1

d)

x = 0

62.

Solve the literal equation for y:

y - 2x = 15

a)

y = 2x + 15

b)

y = -2x + 15

c)

-2x = -y + 15

d)

2x = -y + 15

63.

Solve the literal equation for x:

y = 10x - 4x

a)

x = $\frac{1}{6}y$

b)

y = $\frac{1}{6}x$

c)

x = 6

d)

y = 6

64.

Solve the formula for the indicated variable:

$A=\frac{1}{2}bh$ ; Solve for b

a)

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

b)

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

c)

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

d)

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

65.

Write the sentence as an inequality:

A number g is less than or equal to 12.

a)

$g\le12$

b)

$g>12$

c)

$g\ge12$

d)

$g<12$

66.

Write the sentence as an inequality:

The number 15 is no less than the difference of 3 times a number c and 8.

a)

$15\ge3c-8$

b)

$15\le3c-8$

c)

$8c\le-3$

d)

$15-3c\le8$

67.

Write the sentence as an inequality:

The sum of twice a number n and 6 is at most 24.

a)

$2n+6\le24$

b)

$2n+6\ge24$

c)

$2n-6\le24$

d)

$2n-6\ge24$

68.

Write an inequality that represents the graph.

a)

$x<2$

b)

$x>2$

c)

$x\ge2$

d)

$x\le2$

69.

Write an inequality that represents the graph.

a)

$x\ge-40$

b)

$x>-40$

c)

$x<-40$

d)

$x\le-40$

70.

Solve the inequality and graph the solution:

$-2\le\frac{p}{-3}$

a)

$p\le6$

b)

$p\ge-6$

c)

$p<6$

d)

$p>6$

71.

Solve the inequality and graph the solution:

m + 4 < 8

a)

m < 4

b)

m < -4

c)

m > -4

d)

m > 4

72.

Solve the inequality and graph the solution:

6x > -42

a)

x > -7

b)

x > 7

c)

x < -7

d)

x < 7

73.

Solve the inequality and graph the solution:

$5y-4\ge26$

a)

$y\ge6$

b)

$y\ge-6$

c)

$y\le6$

d)

$y<6$

74.

Solve the inequality and graph the solution:

$-18<4x+6$

a)

$x>-6$

b)

$x>6$

c)

$x<6$

d)

$x<-6$

75.

Solve the inequality and graph the solution:

$-1\left(3+5k\right)>2$

a)

$k>-1$

b)

$k<-1$

c)

$k>1$

d)

$k<1$

76.

Solve the inequality and graph the solution:

$m\ge5m-4$

a)

$m\ge1$

b)

$m\le1$

c)

$m\ge-1$

d)

$m\le-1$

77.

Solve the inequality and graph the solution:

$4n+3<6n+9$

a)

$n\ge-3$

b)

$n>-3$

c)

$n<3$

d)

$n<-3$

78.

Solve the inequality and graph the solution:

$-3y>9\ \ or\ \ 2y-6>2$

a)

$y>3\ \ or\ \ y>4$

b)

$y<3\ \ or\ \ y>4$

c)

$y>3\ \ or\ \ y>-4$

d)

$y<-3\ \ or\ \ y>4$

79.

Solve the inequality and graph the solution:

$-1<c+2<3$

a)

$3<c<6$

b)

$-3<c<1$

c)

$3<c<-1$

d)

$1<c<5$

80.

Solve the inequality and graph the solution:

$2a+1<11\ \ \ and\ \ \ a<3a-12$

a)

No solution

b)

All real numbers

c)

a < -5

d)

a > -6

81.

Solve the inequality and graph the solution:

$32>16-4g>12$

a)

$-4<g<1$

b)

$-4<g>-1$

c)

$4<g<-1$

d)

$-6<g<3$

82.

Solve the inequality and graph the solution:

$\left|2x-6\right|<2$

a)

2 < x < 4

b)

4 < x < 8

c)

2 < x < 8

d)

-2 < x < -4

83.

Solve the inequality and graph the solution:

$\left|7-y\right|-6\ge-3$

a)

$y\le4\ \ \ or\ \ \ y\ge10$

b)

$y\le4\ \ \ or\ \ \ y>-10$

c)

$y>-4\ \ \ or\ \ \ y>10$

d)

$y<-4\ \ \ or\ \ \ y\ge-10$

84.

Write a combined inequality that represents the graph shown.

a)

$-1<x<2$

b)

$-1<x<-2$

c)

$1<x<-2$

d)

$-1>x<-2$

85.

Write a combined inequality that represents the graph shown.

a)

$x<0\ \ \ or\ \ \ x>5$

b)

$x>0\ \ \ or\ \ \ x>5$

c)

$x<0\ \ \ or\ \ \ x<-5$

d)

$x>0\ \ \ or\ \ \ x>-5$

86.

Evaluate the function $f(x)=-x+3$ when $x=-3\ ,\ 0\ ,\ and\ 4$ Then graph the equation using the input-output tables.

a)

The evaluated outputs are:

f(-3) = 6

f(0) = 3

f(4) = -1

b)

The evaluated outputs are:

f(-3) = 9

f(0) = 1

f(4) = 2

c)

The evaluated outputs are:

f(-3) = 3

f(0) = 6

f(4) = -3

d)

The evaluated outputs are:

f(-3) = 0

f(0) = 3

f(4) = 5

87.

Find the value of x so that f(x) = 6.

Hint: f(x)= y

a)

$x=-2$

b)

$x=0$

c)

$x=1$

d)

$x=3$

88.

Find the x and y-intercepts. Then graph the linear equation.

3x + y = 6

a)

x-intercept: 2 ( 2 , 0 )

y-intercept: 6 ( 0 , 6 )

b)

x-intercept: 3 ( 3 , 0 )

y-intercept: 6 ( 0 , 6 )

c)

x-intercept: -2 ( -2 , 0 )

y-intercept: 6 ( 0 , 6 )

d)

x-intercept: -2 ( -2 , 0 )

y-intercept: -6 ( 0 , -6 )

89.

Write the following equations in slope-intercept form.

$-2x+y=4$

a)

$y=2x+4$

b)

$y=-2x-4$

c)

$y=-2x-2$

d)

$y=2x-4$

90.

Write the following equations in slope-intercept form.

$3x-2y=6$

a)

$y=\frac{3}{2}x-3$

b)

$y=-\frac{2}{3}x+3$

c)

$y=\frac{3}{2}x+3$

d)

$y=-\frac{2}{3}x-3$

91.

The points represented by the table lie on a line.

Find the slope of the line in the simplest form.

a)

$m=-\frac{3}{2}$

b)

$m=\frac{3}{2}$

c)

$m=-\frac{2}{3}$

d)

$m=\frac{2}{3}$

92.

The points represented by the table lie on a line.

Find the slope of the line in the simplest form.

a)

$m=\frac{3}{0}=Undefined$

b)

$m=\frac{0}{3}=0$

c)

$m=\frac{3}{1}$

d)

$m=\frac{1}{3}$

93.

Identify the slope and y- intercept. Then graph the equation.
$y=-5x+4$

a)

m = -5

b = 4 ( 0 , 4 )

b)

m = 4

b = -5 ( 0 , -5 )

c)

m = 5

b = -4 ( 0 , -4 )

d)

m = -4

b = 5 ( 0 , 5 )

94.

Identify the slope and y- intercept. Then graph the equation.
$y=1x+2$

a)

m = 1

b = 2 ( 0 , 2 )

b)

m = -1

b = -2 ( 0 , -2 )

c)

m = 1

b = -2 ( 0 , -2 )

d)

m = -1

b = 2 ( 0 , 2 )

95.

Sketch the graph of each line.

$y=-2x-1$

a)

b)

c)

d)

96.

Sketch the graph of each line.

$x=-1$

a)

b)

c)

d)

97.

Sketch the graph of each line.

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

a)

b)

c)

d)

98.

Sketch the graph of each line.

$y=-x-3$

a)

b)

c)

d)

99.

Find the slope of each line.

a)

m= 1/6

b)

m= 6

c)

m= -6

d)

m= -1/6

100.

Find the slope of each line.

a)

$m=\frac{3}{4}$

b)

$m=\frac{4}{3}$

c)

$m=1$

d)

$m=-1$

101.

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope= $\frac{1}{2}$ , Y-Intercept= $1$

a)

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

b)

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

c)

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

d)

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

102.

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope= $2$ , Y-Intercept= $5$

a)

$y=2x-5$

b)

$y=2x+5$

c)

$y=-2x+5$

d)

$y=-2x-5$

103.

Write the slope-intercept form of the equation of each line.

a)

$y=-1x+2$

b)

$y=1x+2$

c)

$y=-1x-2$

d)

$y=1x-2$

104.

Write the slope-intercept form of the equation of each line.

a)

$y=-4x+4$

b)

$y=4x+4$

c)

$y=-4x-4$

d)

$y=4x-4$

105.

Write the slope-intercept form of the equation of the line through the given point with the given slope.

through: ( 2 , -3 ) , Slope = 0

a)

$y=-3$

b)

$y=3$

c)

$y=2x-3$

d)

$y=-2x+3$

106.

Write the slope-intercept form of the equation of the line through the given point with the given slope.

through: ( 3 , -5 ) , Slope = -1

a)

$y=-1x-2$

b)

$y=1x-2$

c)

$y=-1x+8$

d)

$y=-1x+2$

107.

Write the slope-intercept form of the equation of the line through the given points.

through: ( -3 , -4 ) and ( -4 , 3 )

a)

$y=-7x-25$

b)

$y=1x-25$

c)

$y=-7x-17$

d)

$y=-1x+17$

108.

Write the slope-intercept form of the equation of the line through the given points.

through: ( 2 , -3 ) and ( 1 , 4 )

a)

$y=-7x+11$

b)

$y=-7x+14$

c)

$y=7x+11$

d)

$y=-7x+17$

109.

Write the slope-intercept form of the equation of the line described.

through: ( 3 , 1 ) , parallel to $y=\frac{1}{3}x+1$

a)

$y=\frac{1}{3}x$

b)

$y=3x+1$

c)

$y=-\frac{1}{3}x+8$

d)

$y=-3x+2$

110.

Write the slope-intercept form of the equation of the line described.

through: ( 3 , -5 ) , perpendicular to $y=3x-4$

a)

$y=-\frac{1}{3}x-4$

b)

$y=-3x-4$

c)

$y=3x-4$

d)

$y=\frac{1}{3}x+2$

Algebra I Final Review

Total questions: 110

Worksheet time: 3hrs 47mins

Similar Resources on Wayground