The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?

C. The equation that represents this situation is -3 x = 21. The second number is -7.

A. The equation that represents this situation is x − 3 = 21. The second number is 24.

B. The equation that represents this situation is 3 x = 21. The second number is 7.

D. The equation that represents this situation is -3 + x = 21. The second number is 18.

Which property of equality was used to solve this equation? $$-5x=4$$ $$\frac{-5x}{-5}=\frac{4}{-5}$$ $$x=\frac{4}{5}$$

D. division property of equality

A. addition property of equality

B. subtraction property of equality

C. multiplication property of equality

What is the solution for x in the equation? 12-x 7x+32 Step 1: -x=7x+20 Step 2: -8x=20

D. the subtraction property of equality

A. the division property of equality

B. the addition property of equality

C. the multiplication property of equality

Simon used these steps to solve an equation: Step 1: -6( x + 7) = 2( x − 11) Step 2: -6 x − 42 = 2 x − 22 Step 3: -8 x − 42 = -22 Step 4: -8 x = 20 Which property did he use to get from step 3 to step 4?

A. addition property of equality

C. subtraction property of equality

Which equation has no solution?

D. 3 y + 5 − 7 y = 4(- y + 1) + 5

A. -4( y + 7) = 2(-2 y − 9) − 10

Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound. The cost of the fruit, before tax, is $13.76. How many pounds of each fruit is she buying?

D. 4.5 pounds of apples and 2.5 pounds of grapes

A. 2.8 pounds of apples and 4.8 pounds of grapes

B. 3.3 pounds of apples and 1.3 pounds of grapes

C. 3.8 pounds of apples and 1.8 pounds of grapes

Chris has a cell phone plan with a flat fee of $26.00 per month, plus a cost of $0.12 per minute of usage. Chris can only afford a monthly bill of $86.00. Which statement is true?

C. Chris can afford to use up to 500 minutes per month.

A. Chris needs to use fewer than 400 minutes per month.

B. Chris needs to use fewer than 450 minutes per month.

D. Chris can afford to use up to 550 minutes per month.

Based on the graph, which of the following statements is true?

C. The total price depends on the number of boxes.

A. The total price depends on the number of cupcakes.

B. The number of boxes depends on the total price.

D. The number of cupcakes depends on the total price.

Select the correct answer. Ella is preparing for a 20-mile endurance cycling competition. She practices by cycling at a constant speed of 12 miles per hour for the first 4 miles. She increases her speed by 1.5 miles per hour every mile until she reaches 12 miles. After crossing 12 miles, she reduces her speed by 3 miles per hour each mile, till she reaches a speed of 15 miles per hour and keeps it constant until the end of her ride. From the graph shown below, find the interval where Ella's speed is increasing.

B. Ella's speed is increasing between 4 and 12 miles.

A. Ella's speed is increasing between 12 and 15 miles.

C. Ella's speed is increasing between 16 and 18 miles.

D. Ella's speed is increasing between 0 and 3 miles.

State the domain and range of the following function. {(6,-8), (9,3), (-3,5), (1,-6), (5,7)}

D. Domain: {-3, 1, 5, 6, 9}; Range: {-8, -6, 3, 5, 7}

A. Domain: {-3, 1, 5, 6, 3}; Range: {-8, -6, 5, 7, 9}

B. Domain: {-3, 1, 5, 6, 3}; Range: {-8, -6, 6, 7, 9}

C. Domain: {-8, -6, 3, 5, 7}; Range: {-3, 1, 5, 6, 9

Which of the following sets of ordered pairs represents a function?

D. {(9,-9), (12,-9), (0,-9), (-9,12)}

A. {(0,-9), (14,-9), (0,9), (-9,14)}

B. {(9,14), (9,4), (0,0), (11,16)}

C. {(-9,9), (-9,12), (-9,0), (12,-9)}

Sharona recorded the number of gray hairs her coworkers have and their ages in the graph below. Which of the following does her data represent?

A. both a relation and a function

B. neither a relation nor a function

Select the correct answer. Charlie is at an amusement park that has 18 different rides. Each ride costs $1.75. The function C ( r ) = 1.75 r represents the total amount of money that Charlie will spend if he goes on r rides, but he never goes on the same one more than once. What domain and range are reasonable for the function?

C. D : 0 ≤ r ≤ 18 R : 0 ≤ C ( r ) ≤ 31.5

A. D : 0 ≤ r ≤ 18 R : 18 ≤ C ( r ) ≤ 31.5

B. D : 1 ≤ r ≤ 18 R : 1.75 ≤ C ( r ) ≤ 31.5

D. D : 0 ≤ r ≤ 31.5 R : 0 ≤ C ( r ) ≤ 18

This week, Theo walked x hours at a constant rate of 4 miles per hour and jogged y hours at a constant rate of 6 miles per hour. The total distance he walked and jogged this week was 36 miles. The relationship is modeled by this equation: 4 x + 6 y = 36. Which statement is true about the graph of this relationship?

A. The graph is a line that goes through the points (9,0) and (0,6).

B. The graph is a line that goes through the points (6,0) and (0,9).

C. The graph is a line that goes through the points (-9,0) and (0,6).

D. The graph is a line that goes through the points (-6,0) and (0,9).

Each statement describes a transformation of the graph of f ( x ) = x . Which statement correctly describes the graph of g ( x ) if g( x ) = f ( x - 11)?

A. It is the graph of f ( x ) translated 11 units to the right.

B. It is the graph of f ( x ) translated 11 units up.

C. It is the graph of f ( x ) where the slope is increased by 11.

D. It is the graph of f ( x ) translated 11 units to the left.

Each statement describes a transformation of the graph of f ( x ) = x . Which statement correctly describes the graph of g ( x ) if g ( x ) = f (-10 x )?

C. It is the graph of f ( x ) reflected about the x -axis and shrunk horizontally by a factor of 10.

A. It is the graph of f ( x ) reflected about the x -axis and shrunk vertically by a factor of 10.

B. It is the graph of f ( x ) reflected about the y -axis and stretched horizontally by a factor of 10.

D. It is the graph of f ( x ) reflected about the x -axis and stretched horizontally by a factor of 10.

Algebra 1 PC Review

Authored by Barbara White

Mathematics

9th Grade

CCSS covered

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42 questions

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FILL IN THE BLANK QUESTION

1 min • 1 pt

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Simplify the expression.
4(-8x + 5) – (-33x – 26) = .....

Tags

CCSS.6.EE.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

-6

Tags

CCSS.6.EE.A.2C

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of this expression when w = -5?
w² + 3w − 11

A. -51

B. -36

C. -16

D. -1

Tags

CCSS.6.EE.A.2C

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Consider the expression below.
9 + 4(x + 2) – 3x
Select the term that best describes "3" in the given expression.

A. variable

B. exponent

C. constant

D. coefficient

Tags

CCSS.6.EE.A.2B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify:
6 ÷ 3 + 3² · 4 − 2

A. 98

B. 36

C. 22

D. 42

Tags

CCSS.6.EE.A.2C

FILL IN THE BLANK QUESTION

1 min • 1 pt

Keaton drew an equilateral triangle on the computer. If the perimeter of the triangle is 29.4 centimeters, the length of a side of the triangle is ... centimeters.

Tags

CCSS.3.MD.D.8

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Shannon manages a crew of painters. A homeowner paid the crew $560 to paint a garage. Shannon received $164 of the money, and she shared the rest equally among the other three members of her crew. How much money did each of the three crew members receive for the job?

A. $100

B. $112

C. $120

D. $132

Tags

CCSS.3.OA.D.8

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Algebra 1 PC Review

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.Simplify the expression.4(-8x + 5) – (-33x – 26) = .....

What is the value of this expression when w = -5?w2 + 3w − 11

Consider the expression below.9 + 4(x + 2) – 3xSelect the term that best describes "3" in the given expression.

Simplify:6 ÷ 3 + 32 · 4 − 2

Keaton drew an equilateral triangle on the computer. If the perimeter of the triangle is 29.4 centimeters, the length of a side of the triangle is ... centimeters.

Shannon manages a crew of painters. A homeowner paid the crew $560 to paint a garage. Shannon received $164 of the money, and she shared the rest equally among the other three members of her crew. How much money did each of the three crew members receive for the job?

The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?

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Discover more resources for Mathematics

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Simplify the expression.
4(-8x + 5) – (-33x – 26) = .....

What is the value of this expression when w = -5?
w² + 3w − 11

Consider the expression below.
9 + 4(x + 2) – 3x
Select the term that best describes "3" in the given expression.

Simplify:
6 ÷ 3 + 3² · 4 − 2