AnswersJHS-Algebra 1A full yearZero and Negative Exponents

Zero and Negative Exponents — Cumulative exam Answers

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1
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A rectangle is shown on the coordinate grid. Which equation represents the side that is parallel to side d?

Question illustration
A
y = 2 x + 5
Option A
B
y = negative 2 x + 5
Option B
C
y = one-half x minus five-halves
Option C
D
y = negative one-half x minus seven-halves
Option D
2
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What is the slope, m, and the y-intercept of the line that is graphed below?

Question illustration
A
m = 1; (0, 3)
B
m = 1; (–3, 0)
C
m = –1; (0, 3)
D
m = –1; (–3, 0)
3

Which relationships could have a negative correlation? Select three options.number of hours worked and free timespeed of a car and minimum stopping distancethe speed of a train and the length of time to reach the destinationadult’s head circumference and agea tadpole’s age and the length of it’s tail

A
number of hours worked and free time
B
speed of a car and minimum stopping distance
C
the speed of a train and the length of time to reach the destination
D
adult’s head circumference and age
E
a tadpole’s age and the length of it’s tail
4

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

A
7x + 2y = –1
B
7x + 2y = 1
C
14x + 4y = –1
D
14x + 4y = 1
5

The prime factorizations of 54 and 72 are shown below.Prime factorization of 54: 2, 3, 3, 3Prime factorization of 72: 2, 2, 2, 3, 3Using the prime factorizations, what is the greatest common factor of 54 and 72?

A
2 ´ 3
B
2 ´ 3 ´ 3
C
2 ´ 2 ´ 3 ´ 3
D
2 ´ 2 ´ 2 ´ 3 ´ 3 ´ 3
6

An auto mechanic charges $50 to diagnose a problem and $25 per hour to repair the problem. If x represents the total number of hours worked and y represents the total charges, which equation represents this situation?

A
y = 25x + 50
B
y = 50x + 25
C
y = 50x – 25
D
y = 25x – 50
7

Which is the simplified form of ?

Question illustration
A
StartFraction 1 Over m Superscript 8 Baseline p EndFraction
Option A
B
StartFraction 1 Over m Superscript 8 EndFraction
Option B
C
StartFraction p over m Superscript 8 EndFraction
Option C
D
m Superscript 8
Option D
8

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
9

A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line. What is the value of a?

Question illustration
A
–2
B
–1
C
1
D
2
10

What is the value of ?

Question illustration
A
Negative StartFraction 81 Over 16 EndFraction
Option A
B
Negative StartFraction 16 Over 81 EndFraction
Option B
C
StartFraction 16 Over 81 EndFraction
Option C
D
StartFraction 81 Over 16 EndFraction
Option D
11

The table shows the total cost of purchasing x same-priced items and a catalog.

Question illustration
A
$4, the cost per item
B
$4, the cost of the catalog
C
$6, the cost per item
D
$6, the cost of the catalog
12

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

A
Option
B
Option
C
Option
D
Option
13

The table shows how an elevator 500 feet above the ground is descending at a steady rate.

Question illustration
A
h(t) = 5t + 500
B
h(t) = 5t – 500
C
h(t) = –5t + 500
D
h(t) = –5t – 500
14

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.

Question illustration
A
The rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.
B
The rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.
C
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.
D
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.
15

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
16

Which point represents the ordered pair ?

Question illustration
A
point Q
B
point R
C
point S
D
point T
17

Which best describes the range of the function f(x) = 2(3)x?

A
y > 0
B
y ≥ 0
C
y > 2
D
y ≥ 2
18

Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?

Question illustration
A
9 feet
B
18 feet
C
30 feet
D
33 feet
19

Use the graph below to answer the question. What is the slope of a line that is parallel to the line in the graph?

Question illustration
Answer not available
20

The graph below shows the number of cups of lemonade that Jermaine and Amelia sold using five different recipes.Lemonade Sold Using Different Recipes Which statement is supported by the graph?

Question illustration
A
They sold the least lemonade with the recipe that used 3 lemons.
B
They sold the least lemonade with the recipe that used 7 lemons.
C
They sold the most lemonade with the recipe that used 3 lemons.
D
They sold the most lemonade with the recipe that used 7 lemons.

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