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Foundations Review

Total questions: 70

Worksheet time: 6hrs 50mins

Name
Class
Date
1.

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)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8

2.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 − y + 5

3.

m plus the product of 6 and n

a)

m + 6n

b)

m − 6 + n

c)

6m + n

d)

m + 6 + n

4.

Three less than twice a number

a)

2x − 3

b)

3x − 2

c)

3 − 2x

d)

2 − 3x

5.
6 (x + 5)
a)
Six times X increased by five
b)
Six times the sum of a number and five
c)
The quotient of six and a number increased by five
d)
Five more a number times six
6.
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)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
7.

The total of n and 9 decreased by 6

a)

(n+9)−6\left(n+9\right)-6

b)

(n−9)=6\left(n-9\right)=6

c)

9n−69n-6

d)

n+9−6n+9-6

8.
What word phrase can you use to represent "5x + 2"?
a)
five times the sum of a number x and two
b)
two times the sum of a number x and five
c)
a number x times the sum of five and two
d)
the sum of five times a number x and two
9.

Translate to an algebraic expression.

6 minus the quotient of u and 2

a)

6 - (u ÷ 2)

b)

6 - 2u

c)

6 ÷ u + 2

d)

6 - (2 ÷ u)

10.

Translate to an algebraic expression.

5 less than the product of 3 and p

a)

3p - 5

b)

5 - 3p

c)

5 < 3p

d)

3p + 5

11.

Translate to an algebraic expression.

twice the sum of 70 and m

a)

2(m + 70)

b)

2⋅70 + m

c)

2(70 - m)

d)

70 + m ⋅ 2

12.

Translate to an algebraic expression.

14 less than the quantity k times 6

a)

6k - 14

b)

14 + 6k

c)

14k - 6

d)

14 - 6k

13.

Translate to an algebraic expression.

5 less than the quotient of 7 and s

a)

(7 ÷ s) - 5

b)

5 - (7 ÷ s)

c)

7(s - 5)

d)

5 - 7s

14.
2 times the sum of y and 5 
a)
2 + y + 5
b)
2y + 5 
c)
2(y + 5)
d)
2 - y + 5
15.
Three times the sum of 2 and e. 
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
16.

Solve

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

17.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
18.
Does the sign need to flip when solving?
-2x ≥ 22
a)
YES
b)
NO
19.
Will my dot be colored in?
5 ≥ x
a)
Yes
b)
No
20.
Match:
You must be at least 48 inches tall to ride the bumper cars.
a)
h < 48
b)
h > 48
c)
h ≤ 48
d)
h ≥ 48
21.
Match:
The postal scale will weigh a maximum of 50 lbs.
a)
 p < 50
b)
p > 50
c)
p ≤ 50
d)
p ≥ 50
22.

Solve the inequality.

30 + n ≥ 50

a)

n ≥ 50

b)

x ≥ 80

c)

n ≤ 30

d)

n ≥ 20

23.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
24.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
25.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

26.

Solve and graph the inequality.

-31 ≤ 8m +9

a)

A

b)

B

c)

C

d)

D

27.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
28.
Solve and graph the inequality.
-4 > (m/3) - 7
a)
A
b)
B
c)
C
d)
D
29.

Solve and graph the inequality.

77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

30.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
31.
a)
{1, 2, 3, 4, 5}
b)
{-1, 1, 2, 3}
c)
{1, 2, 3, 5}
d)
[1, 5]
32.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
a)
{-4, 4, 8, 9}
b)
{-2, 3, 8, 10}
c)
{(9, -2) ( 4, 3)}
d)
{(8, 10) (-4, 8)}
33.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7} 
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
34.
What is the Domain of this linear function?
a)
-3 < x ≤ 5
b)
x = -1
c)
5 < x ≤ -3
d)
-2 < x ≤ 6
35.
a)
Function
b)
Not a Function
36.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
37.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
38.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
39.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
40.

What is the range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

41.

What is the Domain?

a)

-3 < x ≤ 3

b)

-4 ≤ x < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

42.
What is the range?
a)
-7≤x≤6
b)
-7<x<6
c)
-8<y<2
d)
-8≤y≤2
43.
a)
Function
b)
Not a Function
44.
What is the domain of the function?
a)
x>3 
b)
x≥-3
c)
y≤4
d)
y<4
45.
Identify the domain of the following relation:
a)
{-6, 14, 2, 28}
b)
{(-6,14), (0,32), (2,38), (4,44)}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
46.
Over what interval is this function constant?
a)
-5 < x < ∞
b)
-3 < x < 4
c)
4 < x < ∞
d)
-5
47.
When is the velocity decreasing?
a)
0 < t < 60
b)
40 < t < 60
c)
15 < t < 40
d)
-40 < t < 0
48.
When is this function increasing?
a)
-2.5 < x < 2.5
b)
0 < x < 5
c)
0 < x < 55
d)
-5 < x < 0
49.
How long did it take Sam to get to school?
a)
5 minutes
b)
20 minutes
c)
1.25 km
d)
1.25 minutes
50.
How long did Sam sit on the bench and wait for the bus?
a)
5 min
b)
10 min
c)
15 min
d)
20 min
51.
Over which interval of time is this person returning home?
a)
8:00 < x < 9:00
b)
9:00 < x < 9:30
c)
9:30 < x < 11:00
d)
12:00 < x < 13:00
52.
Which statement is true about this graph?
a)
This function is always constant
b)
This function is always increasing
c)
This function is never increasing
d)
This function is both increasing and decreasing
53.
At what time did this Kayak trip begin?
a)
15:00
b)
12:00
c)
0 km
d)
11:00
54.
Which statement is true about this function?
a)
The function is never constant
b)
The function is always increasing
c)
The function is never decreasing
d)
The function increases on the interval 11:00 < x < 15:00
55.

Is the function positive or negative from a to b?

a)

Positive

b)

Negative

56.

Is the function positive or negative from c to d?

a)

Positive

b)

Negative

57.

Is the function positive or negative from d to e?

a)

Positive

b)

Negative

58.

Is the function positive or negative from −∞-\infty to a?

a)

Positive

b)

Negative

59.

Is the function positive or negative from b to c?

a)

Positive

b)

Negative

60.

Is the function positive or negative from g to ∞\infty ?

a)

Positive

b)

Negative

61.

Is the function increasing or decreasing on the interval from e to ∞\infty ? 

a)

Increasing

b)

Decreasing

62.

Is the function increasing or decreasing on the interval from c to d? 

a)

Increasing

b)

Decreasing

63.

Is the function increasing or decreasing on the interval from −∞-\infty to a? 

a)

Increasing

b)

Decreasing

64.

Is the function increasing or decreasing on the interval from b to c? 

a)

Increasing

b)

Decreasing

65.

Is the function increasing or decreasing on the interval from d to e? 

a)

Increasing

b)

Decreasing

66.
a)

It is positive and increasing

b)

It is positive and decreasing

c)

It is negative and increasing

d)

It is negative and decreasing.

67.
a)

It is positive and increasing

b)

It is positive and decreasing

c)

It is negative and increasing

d)

It is negative and decreasing.

68.
a)

It is positive and increasing

b)

It is positive and decreasing

c)

It is negative and increasing

d)

It is negative and decreasing.

69.
a)

It is positive and increasing

b)

It is positive and decreasing

c)

It is negative and increasing

d)

It is negative and decreasing.

70.
a)

It is positive and increasing

b)

It is positive and decreasing

c)

It is negative and increasing

d)

It is negative and decreasing.

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