Unit 3 Questions Bank (8)

$6.40

The amount a hardware store pays for nylon rope is represented by the equation y=0.12x, where y is the price is pays for x feet of rope. The amount the hardware store charges when selling the rope is represented by the graph. The profit the store makes on the rope can be found by subtracting the amount it pays for the rope from the price it charges for the rope. If the store sells 80 feet of rope, how much profit does it make on the rope?

The committee buys 68 carnations and 32 roses.

The events committee buys 100 flowers for a school dance. The flowers are a combination of carnations and roses. Each carnation costs $0.75 and each rose costs $2.75. The committee spends a total of $139, not including tax. How many of each flower did the committee buy?

crosses the x-axis one time

The graph of an equation that has only one real solution __________. A. crosses the y-axis one time B. crosses the x-axis one time C. crosses the x-axis twice but the y-axis only once D. does not cross the x- or y-axis

length = 15.5 inches, width = 4.5 inches

The perimeter of a given rectangle is 40 inches. The length of the rectangle is two inches more than three times the width. What are the dimensions of the rectangle?

True

The price of gasoline is represented by the equation y=2.72x, where y represents the total price for x gallons of gas. Determine whether the statement is true or false. 15 gallons of gas can be represented by the coordinates (15, 40.8)

B) 10 pictures

The sitting fee for Anna's Photography Studio is $60 and it costs $2 for each picture purchased. If the sitting fee for Sarah's Photography Studio is $30 and it costs $5 for each picture purchased, how many pictures would a customer have to buy to have the same cost at both photography studios? A) 6 pictures B) 10 pictures C) 80 pictures D) The customer can never spend the same amount on pictures at both studios.

3(8x - 12) = 5(3x + 9) + 9x

What equation has the same number of solutions as 9(4x + 2) = 7(5x - 8) +x.

y=3/5x + 5

What is the equation of the line that passes through (0,5) and (4,8). Write the equation in slope intercept form.

9/5

What is the slope between the points (3, 5) and (-2, -4)?

5

What is the slope of the line defined by the equation y = 5x − 2?

(-2, 1)

What ordered pair is a solution to the system of equation. 3x - 3y = 9 2x + y = -3

y = −4x − 2

Which function represents a line with a slope of −4 and a y-intercept of −2?

3x + 4 = 2x + x + 4

Which linear equation has infinitely many solutions? A) - x + 5 = -5 B) 2x + 3 = 0 C) 4x - 2 = 3x - 2 D) 3x + 4 = 2x + x + 4

2x + 3 = 0

Which linear equation has only one real solution? A) 2(x + 7) = 2x + 7 B) 2x + 3 = 0 C) 4x - 2 = 2x - 2 + 2x D) 3x + 4 = 2x + x + 4

Jake has $90 and Mike has $120. Jake saves $9 per week and Mike saves $6 per week. How long will it be before Jake and Mike have the same amount of money?

Which situation is represented by the equation? 9x + 90 = 6x + 120

3

Which value is the solution for this equation? 2/3(6h − 9) = 6

True

Substitute -3 for a and 8 for b in the given equation. The equations 5x - 7(x - 1) = ax + b has exactly one solution.

B. -13/2 D. -6.5

3x - 7 = 5x + 6; Solve for x. Select all solutions. A) 6.5 B) -13/2 C) 13/2 D) -6.5

y = 1/2x - 3

Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of of Callie other cat. Together, the cat and the kitten weigh 18 pounds. Write a system of equations that represents Callies kitten and cat.

-9 and -1

Consider the equation a(3 - x) = -2x + b. What values of a and b make the solution of the equation x=-2.

8x - 5y = 3

Consider the equation. 40x - 25y = 15. David wrote a second equation to create a system that has infinitely many solutions. What could this equation be?

True

Consider the slope and y-intercept of the system of equations. Choose true or false for the statement. y=3/4x + 6 and y=-3/4x + 5 have only one solution.

The graphs of the equations are the same line because the equations have the same slope and y-intercept. The systems have infinitely many solutions.

Correctly explain the number of solutions of the following system of equations? -3x + 3y = 12 y = x + 4

8 Weeks

Denzel has saved $75 in his bank account and saves an additional $12.50 every week. Halle has saved $339 in her bank account, but spends $20.50 each week. After how many weeks will Denzel and Halle have the same amount of money in their bank accounts?

Yes

Determine whether the solution of this equation, 7m + 6 = 9m - 2 is the same as the solution to 3m = 36 - 6m.

one solution

How many solutions does the equation 3(x + 2) - 10 = 4x - 6 + x

One Solution

How many solutions does the following system of equations have. 5(3x -9) = 2(6x +9).

A) Mariah is incorrect. The solution is the point of intersection of the two equations in the system.

Mariah solved a system of two linear equations to get a solution of x = 2 and y = -4. She concluded that the solution is the average of the x-intercepts and y-intercepts of the two equations in the system. Which of the following is true about Mariah's conclusion? A) Mariah is incorrect. The solution is the point of intersection of the two equations in the system. B) Mariah is incorrect. The solution is the difference in the x-intercepts and y-intercepts of the two equations in the system. C) Mariah correctly concluded that the solution to a linear system is the average of the x-intercepts and y-intercepts of the two equations in the system. D) Mariah is incorrect. The solution is the slopes of the two equations in the system.

15

Solve the equation for x. 20(2x − 8) = 440

5

Solve the equation for x. 8(3x + 6) = 168

$0.80

Steph and Mariana are at the grocery store. Steph buys a container of orange juice for $3 and 4.5 pounds of apples. Marianna buys a box of of cereal for $4 and 5.75 pounds of apples. If the girls spend the same amount, how much does one pound of apples cost.