James Madison High School Linear Equation & Slope of The Line Test

2

>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. E

x

plain

y

our reasoning.

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

Question 6 (5 points)

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

xy1

2

3

Time (h)

Temperature (°F)

0

52

54

56

58

Question 6 options:decrease of 2 °F/hincrease of 2 h/°Fincrease of 3 °F/hincrease of 2 °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 solutionsno solutionsno 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 = –4x – 2.5Question 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 = –2x + 0.5Question 15 options:

Question 16 (5 points)

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

(1, 4), (–5, 4) Question 16 options:undefined–20

Question 17 (5 points)

Solve the system of equations.

y = 4x – 4y = 5x Question 17 options:(–4, –20)(–4, 20)(–20, –4)(4, –20)

Question 18 (5 points)

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

4x – y = 4 Question 18 options:{(8, 28), (–6, –28), (1, 0), (–2, –12)}{(8, 28), (–2, –28), (1, 0), (–6, –12)}{(8, 32), (–6, –28), (1, 4), (–2, –12)}{(7, 28), (–6, –28), (1, 32), (8, –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) 3x – 6, f(–4) Question 20 options:–18–6–75

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