Free Printable Interim Review

1.

A club at school needs $500. Their money collection for the week is modeled with f(x)=10+20x. What is the meaning of the constant 10?

a)

It's the starting amount.

b)

It's how much money is left over.

c)

It's how much money still needs to be collected.

d)

It's the amount of money raised each week.

2.

A bakery has an order to make 100 cupcakes. The workers can frost and decorate 3 cupcakes per minute. Let x be the number of minutes the workers have been working. Write an inequality that says the number of cupcakes remaining to be decorated is less than 20.

a)

3x-100<20

b)

100+3x<20

c)

100-3x>20

d)

100-3x<20

3.

Given the recursive formula of a sequence below, find the explicit formula.
a₁= 5
a_n = a_n-1- 2

a)

a_n = n - 2

b)

a_n = -2n + 7

c)

a_n = 2n - 7

d)

a_n = -2n + 5

4.

Find the y-intercept of the graph of the linear function that includes the points in the table.

a)

6

b)

5.5

c)

0

d)

0.5

5.

What is the average rate of change from 0 to 4?

a)

-5.25

b)

5.25

c)

-5.33

d)

5.33

6.

Which inequality is represented in the graph?

a)

y ≥ -3x + 4

b)

y ≤ -3x + 4

c)

y ≥ -4x - 3

d)

y ≤ -4x - 3

7.

Solve the equation

x+5=8

a)

x=2

b)

x=3

c)

x=6

d)

x=1

8.

Solve the equation

5g=20

a)

g=3

b)

g=5

c)

g=4

9.

√28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

10.

The function h(t) represents the amount made at Best Buy after t hours. What does the notation h(4) = 500,000 mean?

a)

After 500,000 hours Best Buy made $4

b)

Best Buy makes money at a rate of 500,000/4 hours per dollar

c)

After 4 hours Best Buy has made $500,000

d)

Best Buy makes money at a rate of $500,000 hours per week

11.

What is the range of the graph?

a)

-4 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

12.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

13.

$Given\ h\left(x\right)=3x^2-2x+8\ what\ is\ h\left(2\right)?$

a)

13

b)

8

c)

16

d)

answer not here

14.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

15.

What type of a function is this?

a)

Linear

b)

Absolute Value

c)

Quadratic

d)

Exponential

e)

None of the above

16.

What type of Function is this?

a)

Linear

b)

Absolute Value

c)

Quadratic

d)

Exponential

e)

None of the above

17.

What kind of Function is this?

a)

Linear

b)

Absolute Value

c)

Quadratic

d)

Exponential

e)

None of the above

18.

What kind of function is this?

a)

Linear

b)

Absolute Value

c)

Quadratic

d)

Exponential

e)

None of the above

19.

What kind of Function is y=-5x+17?

a)

Linear

b)

Absolute Value

c)

Quadratic

d)

Exponential

e)

None of the above

20.

What is the domain of the function graphed?

a)

x < 5

b)

x ≥ 1

c)

x > 0

d)

All real numbers

21.

Which of the inequalities below best describes the domain of the function shown on the graph?

a)

-2 ≤ x ≤ 2

b)

-5 ≤ x ≤ -3

c)

-2 ≤ x ≤ 3

d)

-5 ≤ x ≤ 3

22.

A toy rocket is launched into the air, and the data from the rocket's flight is graphed below. What is the domain of the data collected?

a)

0≤ x ≤ 7

b)

0≤ x ≤ 8

c)

0≤ y ≤ 7

d)

0≤ y ≤ 8

23.

What is the range of the function graphed?

a)

-3 < x ≤ 6

b)

-3 < y ≤ 6

c)

2 < y ≤ 6

d)

2 < x ≤ 6

24.

What is the domain of this function?

a)

$-1\le x\le3$

b)

$-3\le x\le4$

c)

$1\le x\le3$

d)

$4\le x\le-1$

25.

The input or the set of all x-values is also called the

a)

Domain

b)

Range

c)

Function

d)

Relation

26.

The ouput or the set of all y-values is also called the

a)

Domain

b)

Range

c)

Function

d)

Relation

27.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

28.

Find the common difference: 29, 21, 13, 5, ...

a)

d = -10

b)

d = -9

c)

d = -8

d)

d = -7

29.

Find the common difference: -18, -23, -28, -33, ...

a)

d = -5

b)

d = 5

c)

d = -3

d)

d = 3

30.

Find the common difference: 1, 201, 401, 601, ...

a)

d = 100

b)

d = 101

c)

d = 200

d)

d = 201

31.

What is the common difference of the sequence 2, -1, -4, -7,...?

a)

-3

b)

-1

c)

-2

d)

3

32.

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

33.

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

a)

-20, -24, -28

b)

-21, -25, -29

c)

-23, -28, -33

d)

-24, -29, -32

34.

The first three terms of an arithmetic sequence are as follows

13, 19, 25

What are the next two terms of the sequence?

a)

31 and 37

b)

31 and 36

c)

30 and 37

d)

30 and 36

35.

Find the next three terms in the arithmetic sequence:

-33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

36.

Is the sequence arithmetic?

78, 785, 7855, 78555, ...

a)

Yes

b)

No

37.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

38.

Define arithmetic sequences.

a)

A sequence whose terms change by adding the same number each time.

b)

A sequence whose terms change by multiplying the same number each time.

c)

A sequence whose terms change by dividing the same number each time.

d)

A list of numbers that often (but not always) form a pattern.

39.

Define common difference.

a)

the product between two consecutive terms of a geometric sequence.

b)

the product between two consecutive terms of an arithmetic sequence.

c)

the difference between two consecutive terms of an arithmetic sequence.

d)

the difference between two consecutive terms of a geometric sequence.

40.

Find the common difference 10, 20, 30, 40.........

a)

Multiply by 10

b)

Add 10

c)

Multiply by 2

41.

Find the first term of the given sequence:
a₁₄=68
d=3

a)

14

b)

20

c)

26

d)

29

42.

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

a)

Common denominator

b)

Common opposites

c)

Common domain

d)

Common difference

43.

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)

a)

a_n=2+6n

b)

a_n=-6+6n

c)

a_n=6n-4

d)

a_n=4-6n

44.

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)

a)

a_n = 4n + 29

b)

a_n = -4n + 25

c)

a_n= -4n + 29

d)

a_n = 4n + 25

45.

Find the explicit formula:
-3, -33, -63, -93, ...

a)

a_n = -3 - 30(n -1)

b)

a_n = -3 + 30(n -1)

c)

a_n = -30 - 3(n -1)

d)

a_n = -30 + 3(n -1)

46.

Find the explicit formula:
-23, -16, -9, -2, ...

a)

a_n = -23 + 7(n -1)

b)

a_n = -23 - 7(n -1)

c)

a_n = 7 - 23(n -1)

d)

a_n = 7 + 23(n -1)

47.

Given the arithmetic sequence
a_n= 14 + (n-1)9
which equation is equivalent

a)

a_n= 9n-5

b)

a_n= 9n+5

c)

a_n= 5n +9

d)

a_n= 9 + 14(n-1)

48.

Given the recursive rule, find the 7th term of the arithmetic sequence.

a)

3.4

b)

11.8

c)

2

d)

10.4

49.

Given the recursive rule, find the 4th term of the sequence.

a)

9

b)

-2

c)

-1

d)

14

50.

Use the Function Rule to determine the 31st term in the given sequence.

3, 7, 11, 15, ...

a)

123

b)

127

c)

119

d)

94

51.

Use the Function Rule to determine the 27th term in the given sequence.
-5, -7, -9, -11, ...

a)

-59

b)

-57

c)

-132

d)

-137

52.

Write the inequality

a)

y>-5x-3

b)

y≥-5x-3

c)

y<-5x-3

d)

y≤-5x-3

53.

Write the inequality

a)

y>2/3x-3

b)

y<2/3x-3

c)

y≤2/3x-3

d)

y≥2/3x-3

54.

Write the inequalities

a)

y≥-2x+3
y≤x-3

b)

y>2x+3
y≥x-3

c)

y>-2x+3
y≥x-3

d)

y<-2x+3
y≤x-3

55.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

56.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

57.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

58.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

59.

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.

a)

x + y ≥ 25
x + y ≤ 8

b)

100x + 25 y ≤ 100
2x + 8y ≤ 14

c)

x + y ≥ 100
8x + 25y ≤ 14

d)

8x + 25y ≥ 100
x + y ≤ 14

60.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

61.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

62.

Write an inequality represented by the graph.

a)

x < - 3

b)

y < - 3

c)

x > - 3

d)

x ≥ - 3

63.

Which point is a solution?

a)

(0, 6)

b)

(-3, 5)

c)

(1, 0)

d)

(-4, 3)

64.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

65.

When graphed, the line will be...

5 ≥ x

a)

Solid

b)

Dashed

c)

Zig-Zag

66.

What is the solution?

a)

No solution

b)

(0, 2)

c)

(0, -4)

d)

(3, -3)

67.

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

a)

intersecting lines

b)

parallel lines

c)

same lines

68.

Will my line be solid?
5 ≥ x

a)

Yes

b)

No

69.

Which of the following inequalities matches the given graph?

a)

y > 3

b)

y ≥ 3

c)

x ≥ 3

d)

x > 3

70.

Which point below is NOT part of the solution set to the inequality?

a)

(0, 0)

b)

(5, 1)

c)

(-2, -3)

d)

(20, -5)

71.

Are the points on the boundary line part of the solution set to the inequality?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

72.

Which system of linear inequalities matches the graph?

a)

y ≤ 2x - 1

y > -2x + 3

b)

y > 2x - 1

y ≤ -2x + 3

c)

y < 2x - 1

y ≥ -2x + 3

d)

y ≤ 2x - 1

y > 2x + 3

73.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

74.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

75.

√96

a)

4√6

b)

3√6

c)

6√5

d)

6√8

76.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

77.

√45

a)

3√5

b)

5√3

c)

9√5

d)

5√9

78.

Simplify: √31

a)

3√1

b)

already simplified

c)

1√3

d)

15√2 + 1

79.

a)

xy√y

b)

x²y²√y

c)

xy√xy

d)

2x2y√y

80.

a)

x³√x

b)

7x√x²

c)

x⁶√x

d)

√x

81.

a)

x⁴y⁴√y

b)

72xy

c)

xy√y

d)

x²y³√x²

82.

a)

y

b)

y²

c)

√y

d)

y√0

83.

a)

y²z¹⁰√xy

b)

20yz√xy

c)

xy²z¹⁰√y

d)

yz⁶√xy²z²

84.

(-2√7)(3√28)

a)

-6√14

b)

6√13

c)

-84

d)

-78

85.

√5 × √10

a)

50

b)

2√5

c)

5√2

d)

5√10

86.

√3 × √15 =

a)

3√5

b)

5√3

c)

2√7

d)

√17

87.

Simplify:
√10 ⋅ √45

a)

3√50

b)

8√2

c)

√450

d)

15√2

88.

Simplify:
6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

89.

Simplify:
√6 ⋅√6

a)

√36

b)

2√3

c)

12

d)

6

90.

Simplify:

a)

4√30

b)

√4√30

c)

√2√30

d)

2√30

91.

Simplify

a)

40

b)

√14

c)

-10√10

d)

2√10

92.

a)

11√5

b)

11√10

c)

5√5

d)

12√10

93.

a)

0

b)

3∛1

c)

3∛7

d)

3

94.

a)

-5√1

b)

8√2 + 13√3

c)

21√5

d)

20√5

95.

a)

17√2

b)

9√1

c)

9

d)

9√2

96.

a)

∛-234

b)

-3∛2

c)

7∛2

d)

3∛2

97.

a)

5∛27

b)

7∛3

c)

15

d)

8∛3

98.

a)

4∛59

b)

3∛2 + 4∛5

c)

∛3

d)

∛5

99.

(2∛4)+(7∛4)

a)

9∛8

b)

52

c)

9∛16

d)

9∛4

100.

Alexander makes this name plate

from wood in art class. What is the

perimeter of the name plate?

a)

18 cm

b)

9 cm

c)

3 cm

d)

6 cm

101.

Sally is putting frosting around the edges of the

roof of a gingerbread house. What is the perimeter

of the roof?

a)

18 cm

b)

16 cm

c)

8 cm

d)

20 cm

102.

Austin’s class is making a poster for

Earth Day. What is the perimeter of

the poster?

a)

24 feet

b)

21 feet

c)

15 feet

d)

30 feet

103.

Find the PERIMETER of the rectangle

a)

28 yd

b)

11 yd

c)

22 cm

d)

22 yd

104.

What is the area of these shape?

a)

9 sq ft

b)

6 sq ft

c)

18 sq ft

d)

3 sq ft

105.

What is the area of this shape?

a)

14 sq m

b)

40 sq m

c)

10 sq m

d)

4 sq m

106.

a)

7 square feet

b)

42 square feet

c)

6 square feet

107.

What is the area of this rectangle?

a)

54 sq units

b)

54

c)

18 sq units

d)

40 sq units

108.

What is the area of this rectangle?

a)

14 sq units

b)

18 sq. units

c)

9 sq units

d)

14

109.

Quadratic

a)

b)

c)

d)

110.

$y=2^x$

a)

Linear

b)

Quadratic

c)

Exponential

d)

Radical

111.

Absolute value

a)

$y=\left|x\right|$

b)

$y=2^x$

c)

$y=\sqrt{x}$

d)

$y=x^2$

112.

radical/root

a)

$y=x$

b)

$y=\sqrt{x}$

c)

$y=2^x$

d)

$y=\left|x\right|$

113.

Name this Function:

a)

Linear

b)

Quadratic

c)

Square Root

d)

Exponential

114.

Which parent function matches the graph?

a)

y = |x|

b)

y = x

c)

y = x²

d)

y = $2^x$

115.

Which equation goes with the graph

a)

y = x

b)

$y=x^2$

c)

$y=\left|x\right|$

d)

$y=2^x$

116.

Write the equation that best matches the graph shown.

a)

y = 4x

b)

y = 4x - 3

c)

y = 4/3 x + 4

d)

y = 4/3 x - 3

117.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

a)

h = 2C + 15

b)

C = 15h + 2

c)

h = 15C + 2

d)

C = 2h + 15

118.

Margaret is a waitress at The Seafood Bonanza. She earns $3 an hour plus 90% of her tips. Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

a)

3h + 0.90d = S

b)

S = 90d + 3h

c)

S = 3d + 90h

d)

S = 3h + 9.0d

119.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

a)

C = 15 + 0.20x

b)

C =15 (0.20x)

c)

C = 15 + x + 0.20

d)

C = 0.20 + 15x

120.

Gracie wants to increase the size of her garden. If A = lw represents the current area of her garden, what is an equation that can be used to represent the resulting are of Gracie's garden if she increases the length by 5 and doubles the width?

a)

A = 10lw

b)

A = 2wl + 10w

c)

A = 2w (l - 5)

d)

A = 10wl + 2w

121.

Norb is a waiter in a diner. He earns $4 per hour plus 95% of his tips. Which equation can be used to determine his salary, S, if he works t hours and earn d dollars in tips?

a)

S = 4t + 0.95d

b)

S = 95t + 4d

c)

S = 0.4t + 9.5d

d)

S = 4t + 9.5d

122.

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

a)

y = 15x + 40

b)

y = 40x + 15

c)

y = 15x

d)

y = 15x - 40

123.

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

a)

40x + 20 = 340

b)

20x + 40 = 340

c)

20x - 40 = 340

d)

20 + 340 = 40x

124.

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

a)

3

b)

4x

c)

4

d)

x

125.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

126.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

127.

At a taco shop the cost for a taco is $1.50 and the cost for a coffee is $2.00. What are the variables?

a)

Type of tacos

b)

Type of coffee

c)

Tacos, coffee

128.

Match an equation with the sentence:

A total of 17 cats and dogs went to the beach

a)

$C\ +\ D\ =\ 17$

b)

$C\ -\ D\ =\ 17$

c)

$CD\ =\ 17$

d)

$C\ +\ 17=\ D$

129.

Match a sentence with this equation: $C\ =\ 7.50p\ +\ 3.00$

a)

JB's Deli charges $ 0.75 for each pizza and $3.00 per topping

b)

Sally's Pizza charges $3.00 per pizza with a $7.50 delivery fee

c)

Pizza Time charges $7.50 for each pizza and $.30 for the delivery fee

d)

Pizza Planet charges $7.50 per pizza with a $3.00 delivery fee

130.

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

131.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

132.

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

a)

x+y=134
x+y=120

b)

3x+3y=134
4x+3y=120

c)

4x+3y=134
3x+3y=120

d)

7xy=134
6xy=120

133.

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

a)

x + y = 33
y = 2x - 3

b)

x + y = 33
x = 2y - 3

c)

x + y = 33
x = 3 - 2y

d)

x + y = 3
x = 33 - 2y

134.

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. If x represents the cost of each apple and y represents the cost of each banana, 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

135.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold? Let S represent the number of student tickets and A represent the number of adult tickets.

a)

S + A = 530

3S + 4A = 1740

b)

S + A = 530

4S + 3A = 1740

c)

S + A = 1740

3S + 4A = 530

d)

S + A = 1740

4S + 3A = 530

136.

Tania had 35 coins in pennies and nickels. She had $1.03. Let p represent the number of pennies and n represent the number of nickels. Which system of equations could be used to determine the number of coins she has?

a)

.01p + .05n = 35

p + n = 103

b)

1p + 5n = 1.03

p + n = 35

c)

.01p + .05n = 1.03

p + n = 35

d)

.05p + .01n = 1.03

p + n = 35

137.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Let x represent the number of horses and y represent the number of chickens. Which system of equations represents the situation?

a)

x + y = 15

4x + 2y = 44

b)

4x + 2y = 15

x + y = 44

c)

x = 2y + 44

4x = y + 15

d)

2x - 4y = 44

x - y = 15

138.

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. Let H represent the time it takes for a haircut. Let D represent the time it takes for a hair dye. Which system of equations represents the situation?

a)

3H + 2D = 315

2H + 4D = 450

b)

3H + 2D = 450

2H + 4D = 315

c)

2H + 4D = 315

3H + 2D = 450

d)

3H + 2D = 315

2H + 2D = 135

Interim Review

Total questions: 138

Worksheet time: 12hrs 19mins

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