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Cumulative Exam — Cumulative exam Answers

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1
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What is the y-value of the solution to the system of equations?3x + 5y = 17x + 4y = −13

A
−3
B
−1
C
2
D
5
2
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A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?

A
The line represents a direct variation because = .
Option A
B
The line represents a direct variation because it is horizontal.
C
The line does not represent a direct variation because it does not go through the origin.
D
The line does not represent a direct variation because –4(3) ≠ 4(3).
3

Which number line represents the solution set for the inequality 3x < –9?

A
A number line from negative 4 to 4 in increments of 1. A point is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
Option A
B
A number line from negative 4 to 4 in increments of 1. A point is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Option B
C
A number line from negative 4 to 4 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
Option C
D
A number line from negative 4 to 4 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Option D
4

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.Which solution can be used to fill in both blanks in the table?

Question illustration
A
(2, 5)
B
(5, 2)
C
(5, −8)
D
(−8, 5)
5

Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute?

A
2 feet
B
12 feet
C
720 feet
D
7,200 feet
6

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y = 10 + 3.5xShop Dorian used: y = 6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? $

Answer not available
7

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?

A
q + d = 6 25q + 10d = 33
B
q + d = 6 0.25q + 0.1d = 33
C
q + d = 33 25q + 10d = 6
D
q + d = 33 0.25q + 0.1d = 6
8

Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute?

A
0.25 miles per minute
B
0.09 miles per minute
C
4 miles per minute
D
11 miles per minute
9

What is the constant of variation, k, of the line y=kx through (3,18) and (5,30)?

A
Option
Option A
B
Option
Option B
C
3
D
6
10

The table shows ordered pairs of the function y = 16 + 0.5x .

Question illustration
A
(0, 18)
B
(5, 19.5)
C
(8, 20)
D
(10, 21.5)
11

Which graph represents a function?

A
Option
B
Option
C
Option
D
Option
12

Which description of the graph of the linear inequality y > 3x – 8 is correct?

A
The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded below the line.
B
The graph will be a solid line with a y-intercept of three and a slope of negative eight. The graph will be shaded above the line.
C
The graph will be a solid line with a y-intercept of three and a slope of negative eight. The graph will be shaded below the line.
D
The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above the line.
13

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

A
y = 2x + 6
B
y = 4x + 6
C
–y = –2x – 3
D
–y = –4x + 6
14

The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend.

Question illustration
A
The team charged $1 to wrap a gift with no bow and $2 to wrap a gift with a bow.
B
The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.
C
The team charged $3 to wrap a gift with no bow and $4 to wrap a gift with a bow.
D
The team charged $4 to wrap a gift with no bow and $5 to wrap a gift with a bow.
15

Which is the graph of f(x) = 2(3)x?

A
Option
B
Option
C
Option
D
Option
16

Solve the equation.–x + 8 + 3x = x – 6

A
x = –18
B
x = –14
C
x = 2
D
x = 4
17

Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?

A
The range contains only natural numbers.
B
The domain contains only natural numbers.
C
Exponential bases must be whole numbers.
D
Initial values must be whole numbers.
18

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?

1
1, –5, 25, –125, ...
2
2, 10, 50, 250, ...
3
3, –2, –7, –12, ...
4
4, 9, 14, 19, ...
19

y = 5x + 23x = –y + 10

A
(–4, –18)
B
(–18, –4)
C
(7, 1)
D
(1, 7)
20

Which is true about the solution to the system of inequalities shown?y > 3x + 1y < 3x – 3

Question illustration
O
Only values that satisfy y > 3x + 1 are solutions.
O
Only values that satisfy y < 3x – 3 are solutions.
V
Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
T
There are no solutions.

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