Cumulative Exam — Cumulative exam Answers

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Which is the graph of linear inequality 6x + 2y > –10?

A
Option
B
Option
C
Option
D
Option
2
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A recipe calls for cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that there are 16 tablespoons in 1 cup and 3 teaspoons in 1 tablespoon. How many teaspoons of broth should she use?

Question illustration
A
teaspoons
Option A
B
12 teaspoons
C
19 teaspoons
D
teaspoons
Option D
3

Ray was in charge of filling the soccer team’s water jug for practice. At the beginning of practice he filled the jug. Halfway through practice the team took a water break. After the break Ray refilled the jug so the players could have water after practice. At the end of practice Ray drained the jug. Which graph could represent the level of the water in the jug during and after practice?

A
Option
B
Option
C
Option
D
Option
4

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

A
f(x) = 85(1 – 0.25)x
B
f(x) = 85(1 + 0.25)x
C
f(x) = 85(0.25)x
D
f(x) = (85 – 0.25)x
5

Which are points on the graph of y = 1.5 + ⌈x⌉? Select three options

A
(–4.5, –2.5)
B
(–0.8, 0.5)
C
(7.9, 9.5)
D
(4.5, 6)
E
(1.3, 3.5)
6

What is the solution (a, c) to this system of linear equations?2a – 3c = –6 a + 2c = 11

A
(negative StartFraction 76 over 7 EndFraction, StartFraction 17 over 7 EndFraction)
Option A
B
(3, –4)
C
(3, 4)
D
(StartFraction 87 over 7 EndFraction, negative StartFraction 5 over 7 EndFraction)
Option D
7

What is the solution to the linear equation?–12 + 3b – 1 = –5 – b

A
b = –2
B
b = –1.5
C
b = 1.5
D
b = 2
8

Which graph represents the function y = 2x – 4?

A
Option
B
Option
C
Option
D
Option
9

Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book.

Question illustration
A
slope: 2, y-intercept: –20
B
slope: 2, y-intercept: 10
C
slope: 5, y-intercept: –20
D
slope: 5, y-intercept: 10
10

Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?

A
Option
B
Option
C
Option
D
Option
11

What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?1. The distributive property: 4x – 12 + 4 < 10 + 6x2. Combine like terms: 4x – 8 < 10 + 6x3. The addition property of inequality: 4x < 18 + 6x4. The subtraction property of inequality: –2x < 18 5. The division property of inequality: ________

A
x < –9
B
x > –9
C
x <
Option C
D
x > –
Option D
12

The graphs of y = 3x and y = 3x are shown below. In general, how does the growth of y = 3x compare to the growth of y = 3x?

Question illustration
A
The function y = 3x is growing slower than y = 3x.
B
The function y = 3x is growing faster than y = 3x.
C
The functions y = 3x and y = 3x are growing at the same rate.
D
The function y = 3x is growing slower than y = 3x.
13

The formula for density is given by , where p is density, M is mass and V is volume. If a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml?

Question illustration
A
7.7
B
7.7278
C
7.73
D
0.1
14

The inverse of the function f(x) = is shown. h(x) = 2x-What is the missing value?

Question illustration
A
1
B
5
C
10
D
20
15

The potential energy, P, in a spring is represented using the formula P = kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework.

Question illustration
A
k = 2Px2
B
k = Px2
Option B
C
k =
Option C
D
k =
Option D
16

The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time in minutes spent on the Internet.f(t) =Which statement is true about the Internet connection cost?

Question illustration
A
It costs $5 per hour to connect to the Internet at the gaming store.
B
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
C
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
D
Any amount of time over an hour and a half would cost $10.
17

The graph shows the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.

Question illustration
A
–2
B
0
C
2
D
5
18

How many solutions does this linear system have?y = x+ 2 6x – 4y = –10

Question illustration
A
one solution: (–0.6, –1.6)
B
one solution: (–0.6, 1.6)
C
no solution
D
infinite number of solutions
19

This mapping shows a functional relationship.

Question illustration
A
0
B
2
C
3
D
4
20

Which is the graph of y – 3 = (x + 6)?

Question illustration
A
Option
B
Option
C
Option
D
Option

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