Free Printable 8C - Term 1 Chapter 2 Practice

1.

Solve the following equations.

$x-7=8$

x=\ ?

(a)

2.

Solve the following equations.

$x+5=-3$

x=\ ?

(a)

3.

Solve the following equations.

$x-7=-8$

x=\ ?

(a)

4.

Solve the following equations.

$x-5=-3$

x=\ ?

(a)

5.

Solve the following equations.

$11-x=-3$

x=\ ?

(a)

6.

Solve the following equations.

$11-x=3$

x=\ ?

(a)

7.

Solve the following equations.

$3x-9=0$

x=\ ?

(a)

8.

Solve the following equations.

$4x=36$

x=\ ?

(a)

9.

Solve the following equations.

$-3x=18$

x=\ ?

(a)

10.

Which is a linear equation?

a)

$2x+3y$

b)

$5x$

c)

$3x+24$

d)

$y=2x-10$

11.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

12.

Solve for x:
6(2x + 1) = 18

a)

3

b)

17/12

c)

1

d)

2

13.

Solve for x:
10 = 3x -12

a)

22/3

b)

2/3

c)

10/9

d)

8

14.

a)

2

b)

4

c)

6

d)

8

15.

a)

1

b)

2

c)

3

d)

4

16.

a)

5

b)

6

c)

7

d)

8

17.

a)

2

b)

3

c)

4

d)

5

18.

a)

24

b)

25

c)

26

d)

28

19.

a)

1

b)

2

c)

3

d)

4

20.

a)

5

b)

-5

c)

7

d)

-7

21.

What letter represents the slope in the equation y = mx + b ?

a)

x

b)

y

c)

m

d)

b

22.

In the following equation, what is the y-intercept?
y = -3x + 7

a)

-3

b)

7

c)

-3/7

d)

3

23.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

x

24.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

25.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

26.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

27.

The point where the line crosses the y-axis is called the:

a)

origin

b)

x-intercept

c)

y-intercept

d)

slope

28.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

29.

What is the y intercept?
y = 2x - 3

a)

3

b)

-3

c)

1

d)

2

30.

Given that the slope is 2/3 and the y intercept is -3 what is the equation of the line?

a)

y = 2/3x - 3

b)

y = 2/3x + 3

c)

y = -2/3x - 3

d)

y = -2/3x + 3

31.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

32.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

33.

In the following equation, what is the y-intercept?
y = -3x + 7

a)

-3

b)

7

c)

-3/7

d)

3

34.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

35.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

36.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

37.

Solve for the variable.

9x\ -3\ =\ -14x\ +\ 20

a)

x = -2

b)

x = 1

c)

x = 4

d)

x = -8

38.

Find the value of the variable that makes the equation true.

-5x\ +\ 18\ =\ 3x\ -\ 6

a)

x = -6

b)

x = 1

c)

x = -2

d)

x = 3

39.

Find the solution.

8x\ +\ 4\ -10x\ =\ 3\ -\ 9x\ +\ 15

a)

x = 2

b)

x = -1

c)

x = 12

d)

x = 6

40.

Solve.

9x\ -\ 15\ =\ 4\ +\ 13x\ -\ 3

a)

x = -2

b)

x = -4

c)

x = 5

d)

x = 10

41.

Find the solution.

2\ +\ 4x\ -\ 6\ =\ 10x\ -\ 22

a)

x = 3

b)

x = -4

c)

x = 1

d)

x = -6

42.

Find the value of the variable that makes the equation true.

-5\left(3x\ -\ 2\right)\ =\ 40

a)

x = 3

b)

x = 1

c)

x = -2

d)

x = -4

43.

Solve for m.

5\left(5m\ +\ 3\right)\ =\ 17\left(2m\ +\ 3\right)

a)

m = 3

b)

m = -2

c)

m = -4

d)

m = 1

44.

Find the solution.

4x\ -\ 5\ =\ -6\left(2x\ -\ 1\right)\ +\ 21

a)

x = -3

b)

x = 6

c)

x = 5

d)

x = 2

45.

Solve for w.

-4\left(3w\ +\ 4\right)\ -\ 14\ =\ 3\left(2w\ -\ 4\right)\ -\ 9w

a)

w = -4

b)

w = -2

c)

w = 1

d)

w = 5

46.

Find the Solution.

-12c=34-5\left(3c-4\right)

a)

c = 6

b)

c = -2

c)

c = -8

d)

c = 18

47.

Solve for w:

\frac{2w}{5}-9=11

a)

$w=50$

b)

$w=10$

c)

$w=32$

d)

$w=23$

48.

solve for m:

\frac{2}{3}\left(9m-6\right)=20

a)

$m=4$

b)

$m=3$

c)

$m=2$

d)

$m=8$

49.

Solve for x:

-20=\frac{x-3}{6}

a)

$x=-123$

b)

$x=-117$

c)

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

d)

$x=-29$

50.

$Solve.\ \ \frac{3a\ -1}{4}\ =\ \frac{-2a\ +\ 4}{-2}$

ONLY PUT THE NUMBER AS THE ANSWER!

(a)

51.

solve for x

a)

5

b)

-25

c)

15

d)

1/5

52.

From the equation: y = -2x +6 what is the slope of the line?

a)

y

b)

6

c)

x

d)

-2

53.

From the equation: y = -2x+6 what is the y-intercept of the line?

a)

y

b)

6

c)

x

d)

-2

54.

Solve this standard form equation so that it is in slope intercept form 6x+12y = 48

a)

48= 6x+12y

b)

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

c)

$y\ =\ -2x+4$

d)

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

55.

Solve this equation in standard form so that it is in slope intercept form 4x-2y = 20

a)

$y=2x-10$

b)

$y=\ 2x+10$

c)

$y\ =\ -2x\ -10$

d)

$y\ =\ -2x+10$

56.

Linear Functions are functions whose graph is a _______ _____.

a)

U-shaped curve

b)

V-shaped curve

c)

straight line

d)

wavy line

57.

What is the y-intercept?

a)

(5, 0)

b)

(-5, 0)

c)

(0, 5)

d)

(0, -5)

58.

Which of the following graphs has a POSITIVE SLOPE?

a)

b)

c)

d)

59.

Which of the following graphs has a NEGATIVE SLOPE?

a)

b)

c)

d)

60.

Which of the following equations has a POSITIVE SLOPE?

a)

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

b)

$y=-4x+1$

c)

$y=-13$

d)

$x=10$

61.

Which of the following equations has a NEGATIVE SLOPE?

a)

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

b)

$y=-4x+1$

c)

$y=-13$

d)

$x=10$

62.

Identify the slope of the function described in the graph.

a)

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

b)

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

c)

m=-3

d)

m=3

63.

Complete the table of values for the linear function f(x) = 2x - 5. Write your answer in the corresponding cell. What if x=-1?

(a)

64.

Write the equation of the line.

a)

y=-3x-4

b)

y=-4x-3

c)

y=(-3/4)x-3

d)

y=(-4/3)x-3

65.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

66.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

67.

Which runner was faster?

a)

Runner A

b)

Runner B

68.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

69.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=(-1/3)x-1

d)

y= -3x-3

70.

Student tickets for Oklahoma! cost $5, and adult tickets cost $10. On Friday night, the drama department made $850. What equation would model this?

a)

5x + 10y = 850

b)

5x - 10y = 850

c)

x + y = 850

d)

850y = 5x + 10

71.

What's your favorite "board game", card game, et cetera?

4 lines

72.

What are systems of linear equations?

a)

a set of two or more linear equations in the same variables

b)

a polynomial with three terms

c)

set of two or more linear inequalities in the same variables

73.

The solution of a system of linear equations is...

a)

the y-intercept (b)

b)

the intersection of the two equations on a graph

c)

the second equations' answers

d)

the slope (m)

74.

Which of the following are ways to solve systems of equations?

a)

Graphing

b)

Substitution

c)

Elimination

d)

All of the above

75.

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

a)

(2, -5)

b)

(5, -2)

c)

(-5, -2)

d)

(-2, 5)

e)

(-2, -5)

76.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

(0, -1.5)

77.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

78.

Which system of equations is represented by the graph shown?

a)

y=-x-1 and y=x+3

b)

y=3x and y=x

c)

y=x-3 and y=x+1

d)

y=x+1 and y=-x-3

79.

a)

Yes

b)

No

80.

a)

Yes

b)

No

81.

What is the value of the x-coordinate to the solution to this system of linear equations?

2x + 3y = 15 and -x + 3y = 3

a)

3

b)

-3

c)

6

d)

4

82.

What is the value of the y-coordinate in this system of linear equations?

6x + 10y = -32 and 6x + 9y = -27

a)

y = 5

b)

y = 0

c)

y = -5

d)

y = 1

83.

Solve the following system by graphing. What is the solution?

(Use provided graph paper)

a)

Infinite number of solutions

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

84.

solve by substitution: y=3x+14
y=-4x

a)

y=3

b)

y=1

c)

y= - 2

d)

y=4

85.

2x - y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

86.

Solve the system using any method:

$-3x-9y=-24$

$3x+9y=24$

a)

(1, 7)

b)

Infinite Solutions

c)

No Real Solution

d)

(7, -7)

87.

4x+8y=20
-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

88.

Solve the system using any method:

$-4x+4y=-8$

$4x-4y=0$

a)

(1, 6)

b)

Infinite Solutions

c)

No Real Solution

d)

(1, -6)

89.

Solve by elimination:
7x+y=-9

-3x-y=5

a)

No solution

b)

(1,8)

c)

(-2,-3)

d)

(-1,-2)

90.

What is your "favorite" way to solve linear systems?

a)

elimination

b)

substitution

c)

graphing

d)

equal values method

91.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

92.

Solve the system of equations.
x + 2y = -3
x - y = -12

a)

(-9, 3)

b)

(-7 ,5)

c)

(3, 15)

d)

(9, 6)

93.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

94.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

95.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50

96.

Solve:
x + y = 4
-5x - 6y = -18

a)

(6, -2)

b)

(-6, 10)

c)

(2, 2)

d)

(-2, 6)

97.

When both lines in a system are identical, the system has __________________.

a)

infinite solutions

b)

one solution

c)

no solution

d)

parallel solutions

98.

Solve this system:
$5x+3y=8$
$3x-3y=0$

a)

(1,3)

b)

(1,-3)

c)

(1,1)

d)

(8,0)

99.

Solve for x and y.
y = 2/3x - 2
y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

100.

How many solutions does the system have?

a)

one

b)

no

c)

infinite

101.

How many solutions does the following system have?

a)

one

b)

no

c)

infinite

102.

Solve this system of equations by graphing.

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

$3x-y=8$

a)

b)

c)

d)

103.

Company S and Company T are cellphone providers. Their cost vs. minutes is shown on the graph.

At how many minutes would their cost be equal?

a)

10

b)

20

c)

30

d)

40

104.

Company S and Company T are cellphone providers. Their cost vs. minutes is shown on the graph.

What is the cost for 30 minutes with Company S?

Give your answer to the nearest dollar (ex: $16)

(a)

105.

Which method would you use to solve the system of equations?

$-3x-8y=-25$

$6x+8y=10$

a)

graphing

b)

substitution

c)

elimination

106.

Which method would you use to solve the system of equations?

$y=2x-6$

$y=-x+6$

a)

graphing

b)

substitution

c)

elimination

107.

Which method would you use to solve the system of equations?

$y=5x$

$8x-3y=35$

a)

graphing

b)

substitution

c)

elimination

108.

Solve the system of equations using substitution

$-x-3y=-35$

$2x=y$

a)

$\left(5,\ 10\right)$

b)

$\left(-7,\ -14\right)$

c)

$\left(-14,\ -7\right)$

d)

$\left(10,\ 5\right)$

109.

Solve the system of equations using elimination

$3x+7y=-2$

$4x-7y=-19$

a)

$\left(1,\ -3\right)$

b)

$\left(2.4,\ -1.3\right)$

c)

$\left(-3,\ \ 1\right)$

d)

$\left(-1.3,\ 2.4\right)$

110.

Solve the system of equations using any method

$-5x+15y=20$

$x+5y=-12$

a)

can not be solved

b)

$\left(-7,\ -1\right)$

c)

$\left(1,\ -7\right)$

d)

$\left(7,\ -1\right)$

111.

What is true about word questions?

a)

they always have a solution

b)

our answer has to be in fractions

c)

we must give a worded answer

d)

they don't matter

112.

Claire is a high school basketball player. In a particular game, she made some two point shots and some free throws (worth one point each). Claire made a total of 10 shots altogether and scored a total of 13 points.

How many two point shots did she make? (just type the number)

(a)

113.

Claire is a high school basketball player. In a particular game, she made some two point shots and some free throws (worth one point each). Claire made a total of 10 shots altogether and scored a total of 13 points.

How many free throws did she make? (just type the number)

(a)

114.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

115.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

116.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

117.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

118.

There are 50 donkeys and chickens on a far. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

a)

d + c = 174
4d + 2c = 50

b)

d + c = 50
4d + 2c = 174

c)

d + c = 50
2d + 4c = 174

d)

d + c = 174
2d + 4c = 50

119.

Solve the system of equations by graphing.
y = -4x + 5
y = 3x - 16

a)

(-3, -25)

b)

(3,-7)

c)

(11, 17)

d)

(21, 47)

120.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

121.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

122.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

123.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315
2x + 4y = 450

b)

3x + 2y = 450
2x + 4y = 315

c)

2x + 2y = 315
3x + 4y = 450

124.

Solve using substitution.
x - 2y = 2
3x + 4y = 3

a)

(1.4, -0.3)

b)

(3.1, 5)

c)

(-2.5, 3.5)

d)

(6.9, 1.02)

125.

Find the solution to the system of equations:
3x + 2y = 16
y = -7x + 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

126.

y = -6x + 5
-2x + y = 5

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

127.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

128.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

129.

Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

(−6, 10)

d)

(6, 4)

130.

Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16

a)

(-3, -25)

b)

(3,-7)

c)

(11, 17)

d)

(21, 47)

131.

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

132.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

133.

Which of the following describes the best method for solving this system of equations?

a)

Graphing, because both equations are in slope-intercept form.

b)

Substitution, because $y$ is isolated in the first equation.

c)

Elimination, because both equations are in standard form.

d)

Substitution, because $x$ is isolated in the second equation.

134.

Solve the following system of equations using the substitution method:

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

135.

Solve the following system of equations using the substitution method:

a)

(7, 0)

b)

(0, 7)

c)

(-5, -7)

d)

(5, 7)

136.

Which of the following describes the best method for solving this system of equations?

$-7x-2y=-13$

$x=2y+11$

a)

Graphing, because both equations are in slope-intercept form.

b)

Substitution, because x is isolated in the second equation.

c)

Substitution, because y is isolated in the first equation.

d)

Elimination, because both equations are in standard form.

137.

Solve the following system of equations using the substitution method:

$-7x-2y=-13$

$x=2y+11$

a)

$\left(3,\ -4\right)$

b)

$\left(3,\ 4\right)$

c)

$\left(-3,\ -4\right)$

d)

$\left(-3,\ 4\right)$

138.

Solve the following system of equations using the substitution method:

$y=3x-8$

$y=4-x$

a)

(3,1)

b)

(1,3)

c)

(-3,1)

d)

(3,-1)

139.

Which of the following describes the best method for solving this system of equations?

a)

Graphing, because both equations are in slope-intercept form.

b)

Substitution, because x is isolated in the second equation.

c)

Substitution, because y is isolated in the first equation.

d)

Elimination, because both equations are in standard form.

140.

Solve the following system of equations using the elimination method:

a)

(6, -6)

b)

(-6, -6)

c)

(6, -8)

d)

(-3, -6)

141.

Solve the following system of equations using the elimination method:

a)

(5, -3)

b)

(3, 5)

c)

(-5, -3)

d)

(-3, -5)

142.

Solve the following system of equations using the elimination method:

a)

(-1, -4)

b)

(-4, -4)

c)

(4, -4)

d)

(4, 4)

143.

Solve the following system of equations using the elimination method:

a)

(-3, -8)

b)

(-8, 3)

c)

(2, 3)

d)

(-8, -6)

144.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4x + 6y = 3
13.5x - 13y = 6

b)

x + y = 4
x - y = 6

c)

4x + 6y = 13
3x + 7y = 13.5

d)

4x - 6y = 13
3x - 7y = 13.5

145.

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping.

Which system of equations could be used to find the number of toppings when both companies cost the same amount?

a)

y = 6.80 + .65x

y =7.30+.90x

b)

x + y = 6.80
x + y = 7.30

c)

y = 6.80+.90x
y = 7.30 + .65x

d)

y + .90x = 6.80
y + .65x = 7.30

146.

The sum of Tom and Jerry's age is 10. Tom is 8 years less than triple Jerry's age.

Let x represent Tom's age and y represent Jerry's age.

Which system of equations will help you find Tom and Jerry's ages?

a)

x + y = 10

y = 3x - 8

b)

x + y =10

x = 3y - 8

c)

x + y = 10

x = 8y - 3

d)

x + y = 10

3y - 8 = 10

147.

The sum of Tom and Jerry's age is 10. Tom is 8 years less than triple Jerry's age.

x + y =10

x = 3y - 8

Tom is (a) years old. (Enter numbers only)

148.

David is selling nachos and sodas at a concession stand at a soccer game. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and he sold a total of 87 nachos and sodas combined.

Let x represent the number of nachos and y represent the number of sodas. Which system of equations will help you find the number of nachos and the number of sodas that were sold?

a)

$1.50x+0.50y=78.50$

$x+y=87$

b)

$x\ +\ y\ =\ 78.50$ $1.50x+0.50y=87$

c)

$0.50x+1.50y=87$ $x+y=78.50$

d)

$1.50x+0.50y=87$

149.

David is selling nachos and sodas at a concession stand at a soccer game. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and he sold a total of 87 nachos and sodas combined.

1.50x + 0.50y = 78.50

x + y = 87

David sold (a) nachos. (Enter numbers only)

8C - Term 1 Chapter 2 Practice

Total questions: 149

Worksheet time: 10hrs 44mins

Similar Resources on Wayground