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Foundations Benchmark Review

Total questions: 41

Worksheet time: 3hrs 26mins

Name
Class
Date
1.
You and your friends plan to attend the State fair this weekend.  Admission to the fair is $5 and the cost per rid is $0.50.  How many rides can you go on if you have $20.
a)
20 rides
b)
30 rides
2.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
3.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
4.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
5.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y+ 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
6.

What is the domain of the graph?

a)
b)
c)
d)
7.

A skateboard ramp runs 48 inches and rises 6 inches. What is the rate of change?

a)

8

b)

1/8

c)

42

d)

1/54

8.

Match the graph to the correct table.

a)
b)
c)
9.

Match the slope and y-intercept to the correct table.

a)
b)
c)
10.

Given the graph, what is the equation of the line in point slope form?

a)

y - 20 = ½(x - 4)

b)

y - 20 = 5(x - 4)

c)

y + 20= 5(x + 4)

d)

y - 20 = 1(x - 4)

11.
Solve for k.
2k - 9≤ -19
a)
k ≤ -5
b)
k ≤ 5
c)
k < -5
d)
k < 5
12.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
13.
Using the graph, what does f(8) equal?
a)
8
b)
2
c)
1
d)
0
14.
Write an equation that is parallel to the line
y = x - 5 through (1, -2)
a)
y = -3x +1
b)
y = x - 3
c)
y = x + 1
d)
y = 3x +1 
15.
Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)
a)
y = 2/3x +3
b)
y = -1/3x + 3
c)
y = 1/3x + 3
d)
y = -5/3x + 3
16.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
17.

Which graph represents 2x + 4y = 12?

a)
b)
c)
d)
18.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
19.
m/9 - 1 = -2
a)
6
b)
9
c)
-9
20.

r/4 - 12 = -5

a)

32

b)

28

c)

-28

d)

0

21.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
22.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
23.
a)
Function
b)
Not a Function
24.
Which of the following intervals has the largest average rate of change?
a)
[13,14]
b)
[13, 17]
c)
[16, 17]
d)
[16, 19]
25.

Which of the following graphs has the largest average rate of change from -1 to 2?

a)
b)
c)
d)
26.
a)
x ≥ 2
b)
x ≥ -2
c)
x ≤ 2
d)
x ≤ -2
27.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
28.
2a+4=7+a
a)
a = 1
b)
a = -3
c)
a = -1
d)
a = 3
29.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
30.

Evaluate f(-2) if f(x) = x2+ 3

a)

-1

b)

1

c)

7

d)

-7

31.
Solve for x 
a)
x = 98/5
b)
x = 5/98
c)
x = 101/5
32.
The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?
a)
125x + 55 ≤ 600
b)
125x + 55 ≥ 600
c)
125x + 55 > 600
d)
125x + 55 < 600
33.
a)

x > -3 or x > 1

b)

x < -3 or x < 1

c)

x ≥ 3 and x ≤ 1

d)

x > -3 and x < 1

34.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month.  Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles? 
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
35.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
36.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
37.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function 
38.
a)
b = 3A - a - c
b)
b = -3A + a - c
c)
b = -3A - a - c 
d)
b = 2A - c
39.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
40.
Simplify
x²⁄ ³⋅x¹⁄ ³
a)
2x
b)
x²⁄₉
c)
x
d)
41.
Simplify:
(x²/³)²/
a)
x⁴/¹⁵
b)
b. x¹⁶/¹⁵
c)
c. x⁶
d)
d. 6x