Free Printable G9 Math Makeup Test

1.

How many terms are there?

x - 3y + 88

a)

1

b)

2

c)

3

2.

Evaluate 3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

3.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

4.

An example of an expression is:

a)

2x - 4 = 12

b)

n - 4

c)

x > 7

5.

Define variable.

a)

a value that does not change

b)

to work out an answer

c)

an unknown value

6.

Define equation.

a)

Consists of two expressions that are equal (one symbol).

b)

a value that does not change

c)

calculate the value of an expression

7.

What is the "3" called?

a)

Coefficient

b)

Variable

c)

Algebraic Expression

d)

Constant

8.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

4m + 8

b)

8m - 4

c)

8m + 4

d)

4m - 8

9.

Translate this phrase into an algebraic expression.

The quotient of twenty and a number

Use the variable n to represent the unknown number.

a)

20/n

b)

20-n

c)

n+20

d)

n-20

10.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

11.

8 is 2 less than the quotient of a number y and -2.

Which equation best represents the statement?

a)

$2-\frac{y}{-2}\ =\ 8$

b)

$2\ +\ 2y\ =\ 8$

c)

$\frac{y}{-2\ }-\ 2\ =8$

d)

$-2y\ -\ 2=8$

12.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

13.

At the end of the day, vegetables at the farmer’s market sells for $3.00 a pound, and a basket costs $5.50. If Carol wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?

a)

3 + 5.5p < 10

b)

20 = 5.5 - 3p

c)

5.5 + 3p < 20

d)

3p + 5.5 ≤20

14.

Which ordered pair represents the origin on a graph?

a)

(1,1)

b)

(0,1)

c)

(0,0)

d)

(1,0)

15.

What can you use to represent linear relationships?

a)

verbal descriptions

b)

equations

c)

graphs

d)

tables

e)

all of the above

16.

What values would be in the next row?

a)

11 & 16

b)

10 & 22

c)

10 & 20

d)

11 & 22

17.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

18.

Which equation best represents the line on the graph?

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

19.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

20.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

21.

What type of line is the equation y = 10 ?

a)

vertical

b)

horizontal

c)

neither

22.

Find the sum (2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x²+ 5x -7

d)

-2x² + 11x -4

23.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

24.

What is the term classification of the following polynomial?
x³-7x²+3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

25.

Simplify:
5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

26.

Identify the degree of the monomial:
8a³

a)

8

b)

1

c)

3

d)

11

27.

Combine Like Terms:
2x - 4x + 12x²

a)

12x² - 2x

b)

10x

c)

10x²

d)

12x² + 2x

28.

Is this a polynomial or not?

5x⁴ - 7x

a)

Yes

b)

No

29.

Is this a polynomial or not?

a)

Yes

b)

No

30.

The polynomial -7x²y³z⁴ contains _____ term/s; therefore, it is called a ________________.

a)

1 ; monomial

b)

2 ; binomial

c)

3 ; trinomial

31.

Perform the indicated operation.

Write answer in descending order.

( 17x - 8 ) - ( 9x - 27 )

a)

8x - 35

b)

8x + 35

c)

8x + 19

d)

8x - 19

32.

Perform the indicated operation.

Write answer in descending order.

( 9x² - 7x + 8 ) - ( 12x² - 8x - 11 )

a)

-3x² - 15x + 19

b)

21x² - 15x - 3

c)

-3x² - 15x - 3

d)

-3x² + x + 19

33.

Find the product using

the distributive property.

-8x ( 4x² - 9x + 12)

a)

-32x² - 72x + 96

b)

-32x³ - 72x² - 96x

c)

-32x³ + 72x² - 96

d)

-32x³ + 72x² - 96x

34.

Simplify:

$\frac{\left(8x^4+6x^3-10x^2\right)}{2x^2}$

a)

$4x^2+3x-5$

b)

$4x^2+3x^{1.5}-5x$

c)

$6x^2+4x-12$

d)

$6x^2+4x^{1.5}-12x$

35.

Simplify
$\frac{20x^2}{5x}$

a)

$15x$

b)

$4x$

c)

$15x^2$

d)

$25x$

36.

Divide
$\frac{50x\ -\ 30y\ +40z}{10}$

a)

$5x\ -\ 3y\ +\ 4z$

b)

$5\ -\ 3\ -\ 4$

c)

$5x\ +\ 4y\ +\ 3z$

d)

$40x\ -\ 20y\ -\ 30z$

37.

Write the product using exponents:

(-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

a)

-2⁵

b)

2^-5

c)

(-2)⁵

d)

(-2)^-5

38.

Which is larger?

(-3)² or -3²

a)

(-3)²

b)

-3²

c)

They are equal

39.

What is 5² + 3³?

a)

8⁵

b)

14

c)

15⁶

d)

52

40.

Evaluate : 7 + (12-3)²

a)

256

b)

88

c)

10

d)

13

41.

Evaluate:

(15 ÷ 3)² + 9 ÷ 3

a)

11.3

b)

28

c)

13

42.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

43.

Which expression is equivalent to 6²- 2³?

a)

(6 - 2) x 5

b)

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

c)

(6 x 2) - (2 x 3)

d)

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

44.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

45.

2 + [20 - (9 x 2)]

a)

1

b)

22

c)

4

d)

6

46.

[(12 ÷ 2) - 4] + (8 x 2)

a)

20

b)

17

c)

16

d)

18

47.

$\left[\left(7\ -\ 5\right)^2\ \ \div\ 2\right]\ \ \times\ \left(3\ +\ 4\ +\ 10\right)$

a)

39

b)

38

c)

42

d)

34

48.

( x⁴ )( x² )( x⁴ )

a)

x³²

b)

x⁴

c)

x¹⁰

d)

x⁸

49.

( - 5x )( - 6x )

a)

30x²

b)

- 30x²

c)

30x

d)

- 30x

50.

\left(2x\right)^3

a)

4x

b)

$8x^3$

c)

8x

d)

6x

51.

\left(\frac{4x}{3y}\right)^3

a)

$\frac{64x^3}{27y^3}$

b)

64/27

c)

4/5

d)

4/3

52.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

53.

Which of the following is a perfect square?

a)

39

b)

50

c)

6

d)

81

54.

The area of a square is 117 square meters. Which best represents the length of a side of the square?

a)

10.8 m

b)

11 m

c)

10 m

d)

11.2 m

55.

Len is baking a square cake for his friend’s wedding. When served to the guests, the cake will be cut into square pieces 1 inch on a side. The cake should be large enough so that each of the 121 guests gets one piece. How long should each side of the cake be?

a)

7

b)

12

c)

11

d)

15

56.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

57.

Which of the following numbers is rational?

a)

√8

b)

√16

c)

√50

d)

√75

58.

If x²= 100, then

a)

x = 10 and x = -10

b)

x = -10

c)

x = 10

d)

x = 50

59.

What is the square root of 0.09?

a)

0.3

b)

3

c)

0.03

d)

81

60.

What is the square root of 50/8?

a)

25/4

b)

8/50

c)

10/4

d)

5/2

61.

What is the square root of 144/25?

a)

12

b)

5

c)

12/5

d)

5/12

62.

0.49 is a product of which two equal factors?

a)

7 x 7

b)

49 x 1

c)

0.49 x 1

d)

0.7 x 0.7

63.

Before estimating a square root of a fraction, what strategy should you use to ensure that your fraction is not perfect

a)

Nothing

b)

Simplify it!

c)

Multiply it by 10

d)

Flip it

64.

Determine the value of this square root:

\sqrt{\frac{1}{36}}

a)

1/18

b)

6

c)

1/9

d)

1/6

65.

What is the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

66.

Find x.

a)

35

b)

20

c)

8

d)

12

67.

The prism is made of two cubes. What is its total surface area?

a)

744 in²

b)

816 in²

c)

780 in²

d)

600 in²

68.

All sides of the three-dimensional figure shown meet at right angles. What is the surface area of the three-dimensional figure?

a)

90 in²

b)

356 in²

c)

178 in²

d)

316 in²

69.

What is the area of the shaded region?

a)

14 m²

b)

120 m²

c)

106 m²

d)

134 m²

70.

The total number of eggs , y, contained in x cartons can be represented by the equation y = 12x. Which of the following graphs best represents this situation?

a)

b)

c)

d)

71.

What is the solution to:

$4\left(y-3\right)+19\ =\ 8\left(2y+3\right)+7$ ?

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

$-2$

d)

$2$

72.

Solve the equation:

x + 4 = 20.5

a)

16.5

b)

16.05

c)

24.5

d)

24.05

73.

Solve this equation

y - 33 = 147

a)

114

b)

177

c)

180

d)

Answer Not Given

74.

What is coordinate X?

a)

(5,2)

b)

(2,3)

c)

(4,4)

d)

(6,6)

75.

Which graph represents the equation y = 3/2x - 4?

a)

b)

c)

d)

76.

Evaluate 6ab + 2c if a = 3, b = 10, and c = 7

a)

19

b)

194

c)

180

d)

14

77.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

78.

-7b=49

a)

B=7

b)

B=-7

c)

B=2

79.

Solve:

$\frac{x}{-4}$ = 9

a)

13

b)

36

c)

-36

d)

$\frac{-4}{9}$

80.

11b+7=40

a)

2

b)

1

c)

4

d)

3

81.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

82.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

83.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

84.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

85.

3 + (¹∕₄)a = 31

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

86.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

87.

-(8n - 2) = 3 + 10(1 - 3n)

a)

n = 1/2

b)

n = -1/2

c)

n = 2

88.

True or False: In order to solve the equation below, you would first subtract 3 from each side, then you would multiply by -5 on each side.
$7\ =\ \frac{c}{-5}+3$

a)

True

b)

False

89.

Solve: x + 3 < − 5

a)

x < − 2

b)

x < − 8

c)

x > − 8

d)

x > − 2

90.

Solve: 7 < x + 10

a)

x < − 3

b)

x > − 3

c)

x < 17

d)

x > 3

91.

When graphing b< 6 would you use an open or closed circle?

a)

Open

b)

closed

92.

x>5

a)

x is greater than 5

b)

x is less than 5

c)

x is zero

93.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

94.

14x + 12 < 9x -3

a)

x < -3

b)

x < 8

c)

x < -8

d)

x > -3

95.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

96.

2x + 3 ≤ 15

a)

x ≤ 6

b)

x ≥ -6

c)

x ≤ 9

d)

x≤ -9

97.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

98.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

99.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

100.

What inequality does the number line graph represent

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

G9 Math Makeup Test

Total questions: 100

Worksheet time: 4hrs 36mins

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