Free Printable Math Project

1.

What is a solution to a system of linear equations?

a)

The point where both lines intersect

b)

The point where the y-axis and x-axis meet

c)

An ordered pair that both lines share

d)

A salt dissolved in water

2.

What would the solution be to this system of linear equations?

a)

(0,-1.5)

b)

(1, -3)

c)

(5,0)

d)

(0,0)

3.

What would the solution be to this system of linear equations?

a)

(0,0)

b)

(2,2)

c)

(6,0)

d)

(0,4)

4.

When would we get "infinitely many solutions" to a system of equations?

a)

The lines are parallel, never intersecting

b)

The lines cross at one point

c)

The lines are the same and overlap at all points

d)

The lines cross at 2 points

5.

When will we get "no solutions" from a system of equations?

a)

The two lines cross once

b)

The two lines are the same and overlap

c)

The two lines are parallel and never touch

d)

The two lines cross at 2 points

6.

The first step of solving a system of linear equations is putting the equations in (a) -intercept form

7.

The second step to solving a system of linear equations is to graph the (a) -intercept and use slope to create the line. We do this for both equations.

8.

The third step is to identify the point where the lines intersect aka the (a)

9.

Which of the following graphs would fit the system of equations?

$y=2x-4$

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

a)

b)

c)

10.

What is the equation of the line graphed?

a)

x = -1

b)

y = -1

c)

y = -1x

d)

y = x - 1

11.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

-7x + 2y = 9

d)

3x + 2 = y

12.

What is the equation of the graphed line?

a)

y = 3

b)

y = 3x

c)

x = 3

d)

x = 3y

13.

Vertical or horizontal?
x = 4

a)

vertical

b)

horizontal

c)

neither

14.

Vertical or horizontal?
y = -3

a)

vertical

b)

horizontal

c)

neither

15.

Which line is the steepest?

a)

1st

b)

2nd

c)

3rd

d)

All are the same steepness

16.

What type of slope does the following graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

17.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4

d)

4

18.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

19.

Write the equation in slope intercept form.

5x + y = -5

a)

y = -5x - 5

b)

y = ⅕x - 5

c)

x = ⅕

d)

y = 27, 239, 430

20.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

21.

Which ordered pair could represent a y-intercept on a graph?

a)

(6, 0)

b)

(0, 4)

c)

(-1, 3)

d)

(2, 0)

22.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

x-intercept

23.

What is the y-intercept for the given graph?

a)

-5

b)

5

c)

1

d)

-1

24.

What algebraic equation shows the relationship between the independent and dependent variables?

a)

y = ax

b)

y = x + 12

c)

y = -3x

d)

y =

25.

Which equation matches the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

26.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

27.

Which equation matches the table?

a)

y = 3x + 9

b)

y = x + 9

c)

y = x + 3

d)

y = 12x - 3

28.

Which equation matches the table?

a)

y = 10x + 5

b)

y = 5x + 10

c)

y = 5x + 20

d)

y = x + 10

29.

What is coordinate X?

a)

(5,2)

b)

(2,3)

c)

(4,4)

d)

(6,6)

30.

What is coordinate R?

a)

(2,5)

b)

(0,1)

c)

(2,3)

d)

(1,0)

31.

What is coordinate L?

a)

(6,6)

b)

(2,5)

c)

(2,3)

d)

(5,2)

32.

what is the graph of linear equation in two variables?

4 lines

33.

write the standard form of linear equation in two variables?

4 lines

34.

What is the trend of the graph of linear equation if it has a positive slope?

a)

decreasing

b)

increasing

c)

constant of y values

d)

constant in x values

35.

Find the slope of the line that passes through the points (2, 5) and (-3, 4)

a)

$\frac{1}{5}$

b)

5

c)

$-\frac{1}{5}$

d)

-5

36.

Describe the graph of y = -5?

4 lines

37.

What is the slope of the line of 5x = -7y + 5?

a)

$-\frac{5}{7}$

b)

-5

c)

$\frac{5}{7}$

38.

What is the y-intercept?

a)

(5, 0)

b)

(-5, 0)

c)

(0, 5)

d)

(0, -5)

39.

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

a)

A

b)

B

c)

C

d)

D

40.

Which graph represents the equation $y=4x-1$

a)

b)

c)

d)

41.

Which of these lines has a slope of -3?

a)

A

b)

B

c)

C

d)

D

42.

Which graph represents the equation $y=4x-1$

a)

b)

c)

d)

43.

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

a)

-3

b)

7

c)

-3/7

d)

3

44.

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

a)

origin

b)

x-intercept

c)

y-intercept

d)

slope

45.

#7 Which graph is correct for y = x - 4?

a)

A

b)

B

46.

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

a)

A

b)

B

c)

C

d)

D

47.

#9 Which graph is correct for y = 4x?

a)

A

b)

B

48.

Given that $3g+2h=1$ and $3g-4h=\left(-29\right).$

Find the value of g.

a)

5

b)

2

c)

-1

d)

-3

49.

$3\left(x+1\right)=5\left(x-1\right)$

Find the value of x.

(a)

50.

Tick for the linear equations in two variables.

a)

$\frac{p}{4}+16=q$

b)

$20-h\ =\ 4h$

c)

$3r+23=11s$

d)

$x^2+y=3$

e)

$16g+h=9$

51.

$x+2y=-5$
$3x-y=13$

4 lines

52.

A man is three times as old as his daughter. If the difference in their ages is 36 years, find the age of the father and daughter.

a)

20 and 56

b)

18 and 54

c)

22 and 58

d)

15 and 45

53.

Solve the simultaneous equations

a+b=11

a-b=3

a)

a=7, b = 4

b)

a=-4, b= 7

c)

a=4, b = 7

d)

a=4, b= -7

54.

Two pencils and a ruler cost 49 cents in total. One pencil and two rulers cost 62 cents in total. Find the cost of each item.

a)

pencil: 13 cents

ruler: 23 cents

b)

pencil: 15 cents

ruler: 23.50 cents

c)

pencil: 12 cents

ruler: 25 cents

d)

pencil: 18 cents

ruler: 26 cents

55.

Which line has a
positive slope?

a)

Blue

b)

Red

c)

Purple

d)

Green

56.

Which line has an undefined slope?

a)

Red

b)

Blue

c)

Purple

d)

Green

57.

What is the y-intercept

a)

(2,0)

b)

(0,2)

c)

(0,-2)

d)

there is no y-intercept

58.

What is the slope a horizontal line?

a)

-1

b)

undefined

c)

1

d)

0

59.

What is the gradient in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

60.

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

a)

A

b)

B

c)

C

d)

D

61.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

62.

In slope intercept form (y=mx+b) what is the "m"?

a)

The y-intercept

b)

The x-intercept

c)

The slope (rate of change)

d)

A point

63.

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

a)

3

b)

4

c)

-3

d)

4/3

64.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

65.

Find the rate of change from the graph

a)

0

b)

undefined

c)

5

d)

-5

66.

Which equation represents this graph? (hint: which direction is the line facing?)

a)

$y=-x+2$

b)

$y=x+2$

67.

What is the solution to the system of equations?

a)

(5, 2)

b)

(2, 5)

c)

(-5, 2)

d)

(-2, -5)

68.

What is the solution to the system of equations?

a)

(3, -2)

b)

(3, 2)

c)

(2, 3)

d)

(2, -3)

69.

What is the solution to the system of equations?

a)

(-3, -4)

b)

(-4, 3)

c)

(4, -3)

d)

(-3, 4)

70.

What is the solution to the system of equations?

a)

(-5, -2)

b)

(2, -5)

c)

(2, 5)

d)

(-5, 2)

71.

What is the solution to the system of equations?

a)

(4, 1)

b)

(-4, -1)

c)

(1, 4)

d)

(-1, 4)

72.

What is the solution to the system of equations?

a)

(2, 3)

b)

(-3, 2)

c)

(2, -3)

d)

(3, 2)

73.

What is the solution to the system of equations?

a)

(-7, -5)

b)

(5, 7)

c)

(-5, -7)

d)

(-7, 5)

74.

What is the solution to the system of equations?

a)

(-3, 4)

b)

(3, 4)

c)

(-4, 3)

d)

(4, 3)

75.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

76.

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

77.

a)

(2, -2)

b)

(2, 2)

c)

(-2, 2)

d)

(-2, -2)

78.

a)

(2, 0)

b)

(-2, 0)

c)

(0, 2)

d)

(0, -2)

79.

The two lines graphed on the coordinate grid each represent an equation.

Which ordered pair represents a solution to both equations?

a)

(-4, 0)

b)

(-2, 1)

c)

(0, -4)

d)

(1, -2)

80.

The two lines graphed on the coordinate grid each represent an equation.

Which ordered pair represents a solution to both equations?

a)

(2, 0)

b)

(0, 2)

c)

(-2, 0)

d)

(0, -2)

81.

Where do these two lines intersect?

a)

(-3, 2)

b)

(-2, 3)

c)

(3, -2)

d)

(2, 3)

82.

The value of x in the simultaneous equation below is ...

-3x + y = 5

-6x + 5y = 20

a)

-20

b)

-10

c)

-5

d)

5

83.

What is the point of intersection?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

84.

Give the point of intersection for the simultaneous equations.

a)

(3,1)

b)

(1, 3)

c)

(-1, 3)

d)

(1, -3)

85.

Give the solution for the simultaneous equations.

a)

(-2, -2)

b)

(2, -2)

c)

(-2 ,2)

d)

(2, 2)

86.

Verify which point is the intersection point for these simultaneous equations.
y = -x + 3
2x - y = 6

a)

(0, 3)

b)

(3, 0)

c)

(1, 2)

d)

(2, 1)

87.

Give the point of intersection for the simultaneous equations.

a)

(-2, -8)

b)

(-8, -2)

c)

(2, -8)

d)

doesn't have one

88.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

89.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

90.

Solve the Simultaneous Equations: x+y=5; x-y=1

a)

x=2, y=3

b)

x=3, y=2

c)

x=3, y=-2

d)

x=-3, y=2

91.

Identify the y-intercept for the function:
y=-3x

a)

-3

b)

0

c)

1

d)

-1

92.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

93.

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

94.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

95.

Factor
x² + x - 6

a)

(x + 2)(x + 3)

b)

(x + 6)(x -1)

c)

(x + 3)(x - 2)

d)

(x +1)(x - 6)

96.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

97.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

98.

$What\ are\ the\ factors\ of\ \ x^2\ +5x\ +6\ ?$

a)

(x - 2)(x - 3)

b)

(x +1)(x +6)

c)

(x+2)(x+3)

d)

(x -1)(x -6)

99.

The solution of the quadratic equation
4x²-5x-9=0 are

a)

x=-1 or x=9/4

b)

x=1 or x=9/4

c)

x=2 or x=3

d)

x=-2 or x=-3

100.

a)

A

b)

B

c)

C

d)

D

101.

Which is another way of correctly expressing
(x - 3)(x - 3)?

a)

(x² - 3²)

b)

(x² - 3)

c)

(x + 3)(x - 3)

d)

(x - 3)²

102.

FACTORISE

m² + 3m + 2

a)

(m + 2)(m + 3)

b)

(m + 2)(m + 1)

c)

(m + 3)

d)

(m + 4)(m - 3)

103.

It is a statement in which two expressions, at least one containing the variable are equal.

a)

Inequality

b)

Equivalent

c)

Equation

d)

Expression

104.

Match the following

a)

Proper Fraction

1.

5/6

b)

Improper Fraction

2.

6/5

c)

Mixed Number

3.

1 6/5

105.

3/6 + 10/12

a)

$\frac{13}{12}$

b)

$\frac{13}{18}$

c)

$\frac{16}{12}$

d)

$\frac{13}{12}$

106.

What is 8/9 - 5/6?

a)

1/18

b)

3/4

c)

6/7

d)

10/12

107.

What is 2/3 x 2/3

a)

4/9

b)

2/3

c)

4/3

d)

4/6

108.

⁴/₉ ÷ ¹/₂

a)

⁸/₉

b)

⁵/₁₁

c)

⁶/₁₀

d)

⁴/₁₈

109.

5 students shared $\ \frac{1}{2}$ of a brownie cake. What fraction amount of the cake did each student get?

Which operation would you need to apply to solve this?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

110.

Annie is baking cakes for her brother's birthday. She uses $\frac{4}{5}$ cups of flour for each cake. If she bakes 3 cakes, how many cups of flour will she need in all?

a)

$\frac{4}{15}$ cups

b)

$1\frac{4}{5}$ cups

c)

$2\frac{2}{5}$ cups

d)

$3\frac{1}{5}$ cups

111.

Mr. Rodriguez has $\frac{5}{8}$ ton of mulch to be divided evenly among 6 garden boxes. How much mulch will each garden box get?

a)

$\frac{30}{8}$ ton

b)

$\frac{1}{8}$ ton

c)

$\frac{5}{48}$ ton

d)

$\frac{11}{48}$ ton

112.

3/7 + 1/4

a)

4/11

b)

19/28

c)

4/28

d)

3/11

113.

a)

1/6

b)

2/12

c)

8/9

d)

8/12

114.

a)

b)

c)

d)

115.

a)

b)

c)

d)

116.

a)

b)

c)

d)

117.

a)

b)

c)

d)

118.

y + 7/16 = 19/32

a)

1/16

b)

- 1/16

c)

- 5/32

d)

5/32

119.

x + 1¹/₂= 5³/₄

a)

x = 4 ¹/₄

b)

x = 4 ⁵/₄

c)

x = 4 ²/₂

d)

x = 5

120.

a)

-1 and 3/4

b)

1 and 3/4

c)

3/4

d)

-3/4

121.

Eric is $6\ \frac{1}{6}$ feet tall and his brother is $5\ \frac{3}{4}$ feet tall. Eric is how many feet taller than his brother?

a)

$\frac{7}{12}\ feet$

b)

$\frac{1}{6}\ feet$

c)

$\frac{5}{12}\ feet$

122.

1 ⅞ x 2 ⅓

a)

2 7/24

b)

3 8/24

c)

4 ⅘

d)

4 ⅜

123.

2/5 - ? = 3/20

(a)

124.

1/2 - 1/5 = ?

(a)

125.

2/5 - ? = 1/15

(a)

126.

? - 1/3 = 7/15

(a)

127.

3/6 - 2/4 = ?

(a)

128.

9/12 - ? = 1/2

(a)

129.

? + 8/10 = 67/40

(a)

130.

8/10 - 1/3 = ?

(a)

131.

8/10 = ? /100

(a)

132.

2/5 = 200/?

(a)

133.

6 3/6 - 2 5/6 =

(a)

134.

3/10 = 24/?

(a)

135.

2/5 - ? = 3/20

(a)

136.

1/2 - 1/5 = ?

(a)

137.

2/5 - ? = 1/15

(a)

138.

? - 1/3 = 7/15

(a)

139.

3/6 - 2/4 = ?

(a)

140.

9/12 - ? = 1/2

(a)

141.

? + 8/10 = 67/40

(a)

142.

8/10 - 1/3 = ?

(a)

143.

8/10 = ? /100

(a)

144.

2/5 = 200/?

(a)

145.

6 3/6 - 2 5/6 =

(a)

146.

3/10 = 24/?

(a)

147.

Match the following fraction with the reciprocal

a)

1/6

1.

6

b)

3/4

2.

4/3

c)

2/7

3.

7/2

d)

9/10

4.

10/9

e)

3/8

5.

8/3

148.

5/6 $\div$ 3/4 =

Divide the fractions. Simplify the answer.

a)

15/24

b)

20/18

c)

10/9

d)

18/24

149.

6/7 $\div$ 1/4

Divide the answer. Simplify the fraction.

a)

24/7

b)

6/28

c)

3/14

d)

7/24

150.

8/3 $\div$ 5/4

Divide the answer. Simplify the fraction.

a)

15/32

b)

32/15

c)

3/14

d)

7/24

151.

Divide the following fractions.

$6\frac{3}{4}\div\frac{4}{5}$

4 lines

152.

Divide the following fractions.

$\frac{7}{8}\div2\frac{1}{5}$

4 lines

153.

5/6 $\div$ 3/4 =

Divide the fractions. Simplify the answer.

a)

15/24

b)

20/18

c)

10/9

d)

18/24

154.

6/7 $\div$ 1/4

Divide the answer. Simplify the fraction.

a)

24/7

b)

6/28

c)

3/14

d)

7/24

155.

8/3 $\div$ 5/4

Divide the answer. Simplify the fraction.

a)

15/32

b)

32/15

c)

3/14

d)

7/24

Math Project

Total questions: 155

Worksheet time: 3hrs 35mins

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