# pre algebra 2 1

Table of Contents

## Question 1 (5 points)

Graph each linear equation.

Question 1 options:

## Question 2 (5 points)

Use the vertical line test to determine which of the following relations is a function.

Question 2 options:

## Question 3 (5 points)

Find the slope of the line.

Question 3 options:

## Question 4 (5 points)

Graph each linear equation.

Question 4 options:

## Question 5 (5 points)

Determine if there is a proportional linear relationship. Explain your reasoning.

Question 5 options:
 decrease of 16 oz/lb increase of 16 oz/lb increase of 3 lb/oz increase of 32 oz/lb

## Question 6 (5 points)

Determine if there is a proportional linear relationship. Explain your reasoning.

 Time (h) Temperature (Â°F) x y 0 52 1 54 2 56 3 58
Question 6 options:
 decrease of 2 Â°F/h increase of 2 h/Â°F increase of 3 Â°F/h increase of 2 Â°F/h

## Question 7 (5 points)

There are a total of 21 students in the choir and the drama club. There are 7 more students in the choir than the drama club. Write and solve a system of equations to represent this solution. Let x represent the number of students in the choir, and let y represent the number of students in the drama club. Interpret the solution.

Question 7 options:
 (7, 14); There are 14 students in the choir and 7 students in the drama club. (7, 14); There are 7 students in the choir and 14 students in the drama club. (14, 7); There are 14 students in the choir and 7 students in the drama club. (14, 7); There are 7 students in the choir and 14 students in the drama club.

## Question 8 (5 points)

Graph each linear equation.

Question 8 options:

## Question 9 (5 points)

Determine whether the system of equations has one solution, no solution, or infinitely many solutions by graphing. If the system has one solution, name it.

Question 9 options:
 one solution (2, 2) infinitely many solutions no solutions no solutions

## Question 10 (5 points)

The length of a rectangular picture frame is twice the width. The frame has a perimeter of 96 inches. Write and solve a system of equations to represent this solution. Let x represent the width of the frame, and let y represent the length of the frame. Interpret the solution.

Question 10 options:
 (32, 16); The width of the frame is 32 inches, and the length of the frame is 16 inches. (32, 16); The width of the frame is 16 inches, and the length of the frame is 32 inches. (16, 32); The width of the frame is 32 inches, and the length of the frame is 16 inches. (16, 32); The width of the frame is 16 inches, and the length of the frame is 32 inches.

## Question 11 (5 points)

Graph each equation using the slope and the y-intercept.

y = â€“4
x â€“ 2.5

Question 11 options:

## Question 12 (5 points)

The amount of sales tax varies directly with the cost of the purchase. If the sales tax is \$3.80 on a purchase of \$76, what would be the sales tax on a purchase of \$46?

Question 12 options:
 \$1.77 \$2.30 \$2.94 \$3.47

## Question 13 (5 points)

The amount a spring will stretch varies directly with the amount of weight attached to the spring. If a spring stretches 2.1 inches when 80 pounds is attached, how far will it stretch when 40 pounds is attached?

Question 13 options:
 1.05 in. 2.1 in. 4.2 in. 0.95 in.

## Question 14 (5 points)

The cost of tickets varies directly with the number of tickets. Suppose 7 tickets cost \$126. How much would 12 tickets cost?

Question 14 options:
 \$180 \$216 \$252 \$18

## Question 15 (5 points)

Graph each equation using the slope and the y-intercept.

y = â€“2
x + 0.5

Question 15 options:

## Question 16 (5 points)

Find the slope of the line that passes through the pair of points.

(1, 4), (â€“5, 4)

Question 16 options:
 undefined â€“2 0

## Question 17 (5 points)

Solve the system of equations.

y = 4
x â€“ 4

y = 5
x

Question 17 options:
 (â€“4, â€“20) (â€“4, 20) (â€“20, â€“4) (4, â€“20)

## Question 18 (5 points)

Find four solutions of the given function. Write the solutions as ordered pairs.

4
x â€“
y = 4

Question 18 options:
 {(8, 28), (â€“6, â€“28), (1, 0), (â€“2, â€“12)} {(8, 28), (â€“2, â€“28), (1, 0), (â€“6, â€“12)} {(8, 32), (â€“6, â€“28), (1, 4), (â€“2, â€“12)} {(7, 28), (â€“6, â€“28), (1, 32), (8, â€“12)}

## Question 19 (5 points)

Solve the system of equations by graphing.

Question 19 options:

## Question 20 (5 points)

Find the function value.

f(
x)
3
x â€“ 6,
f(â€“4)

Question 20 options:
 â€“18 â€“6 â€“7 5
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