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Laabri

Slope SOL Review

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Last updated 3 months ago
17 Nsɛmmisa
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

What is the equation of the function shown in the graph?

Graph of a decreasing linear function on a coordinate plane

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Which graph has a slope of $- \frac{1}{4}$?

A

Graph A

B

Graph B

C

Graph C

D

Graph D

Asemmisa {{asɛmmisaAhyɛnsode}}
3.
Asemmisa {{asɛmmisaAhyɛnsode}}
4.

What is the value of $m$ for the line that passes through $(7,4)$ and $(3,3)$?

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Drag the term to correctly label the slope of each graph.

Three coordinate grid graphs with red lines showing different slopes: increasing, decreasing, and horizontal.

zero     positive     negative

  • horizontal line

  • increasing line

  • decreasing line

  • zero

  • positive

  • negative

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

What is the value of $m$ from the equation $y = \frac{3}{4}x$?

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Consider a line on the coordinate plane.

Coordinate plane with a line extending from the lower left to the upper right

Which statement correctly describes the line?

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Coordinate plane with line a graphed

Line a in the above graph goes through the points $(-2, 6)$ and $(4, -3)$. What is the slope of the line?

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Which graph represents a linear function with a positive slope?

Graph A:

Coordinate grid labeled Graph A showing a decreasing line from quadrant II through quadrant I to quadrant IV.

Graph B:

Coordinate grid labeled Graph B showing an increasing line from quadrant III through quadrant II to quadrant I.

Graph C:

Graph C shows a vertical line passing through x = 2 on a coordinate grid.

Graph D:

Graph D shows a horizontal line passing through y = 3 on a coordinate grid.

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

The table below shows how the cost of building a fence is related to the length of the fence.

Fence Cost

Length (meters)

Cost (dollars)

20

400

30

600

40

800

50

1,000

60

1,200

Which equation correctly relates $x$, the length in meters, and $y$, the cost in dollars?

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Which coordinate plane represents the linear relationship $y = 7x$?

Graph A

Graph A: a slanted line on a coordinate plane

Graph B

Graph B: a vertical line on a coordinate plane

Graph C

Graph C showing a line on a coordinate plane

Graph D

Graph D showing a line on a coordinate plane

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Janice has a pasta recipe that calls for 2 ounces of cheese for every 3 ounces of cooked pasta. Which graph shows this relationship between cheese and pasta?

A

Graph A showing a line from the origin increasing to the right; x-axis Pasta, y-axis Cheese.

B

Graph B showing a line from the origin increasing to the right with a smaller slope; x-axis Pasta, y-axis Cheese.

C

Graph C showing a line from (0,0) to (10,10) with Pasta on the x-axis and Cheese on the y-axis.

D

Graph D showing a line from (0,0) to (10,4) with Pasta on the x-axis and Cheese on the y-axis.

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

$y = \tfrac{1}{7}x$

$y = \tfrac{1}{3}x$

$y = \tfrac{1}{2}x$

$y = 2x$

$y = 3x$

$y = 7x$

Graph 1 (rises quickly)

Graph 2 (rises very steeply)

Graph 3 (rises gradually)

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Which graph represents a proportional relationship between $x$ and $y$, passes through the point $(7, -5)$, and has a slope of $- \frac{5}{7}$?

A

Graph A: a decreasing line on a coordinate plane.

B

Graph B: a decreasing line on a coordinate plane with a different intercept.

C

Graph C showing a decreasing line across the coordinate plane.

D

Graph D showing a decreasing line across the coordinate plane.

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Which graph represents the equation $y = -\tfrac{1}{2}x^2$?

A

Graph labeled y = -1/2 x with a decreasing line.

B

Graph labeled y = -1/2 x with an increasing line.

C

Graph of line labeled y = -1/2 x slanting upward from bottom left to top right

D

Graph of line labeled y = -1/2 x slanting downward from top left to bottom right

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Grandma makes 4 cookies for each person in the family every Thanksgiving. Find the graph representing the ratio of cookies to people on Thanksgiving.

Graph A

Line graph A with Cookies on the y-axis from 0 to 10 and People on the x-axis from 0 to 10, line from the origin to the point (10, 10).

Graph B

Line graph B with Cookies on the y-axis from 0 to 10 and People on the x-axis from 0 to 10, line from the origin to the point (6, 10).

C

Graph C showing relationship between number of people on the horizontal axis and cookies on the vertical axis.

D

Graph D showing relationship between number of people on the horizontal axis and cookies on the vertical axis.

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Which graph shows the line $y = 2x$?

Graph A

Graph A, a line on a coordinate grid

Graph B

Graph B, a line on a coordinate grid

C

Graph option C showing a line on a coordinate grid

D

Graph option D showing a line on a coordinate grid

Match the equations to the correct graphs.

Match each graph with its equation.

Graph of a line on a coordinate grid, positive slope, passing through the origin and rising quickly.

Graph of a line on a coordinate grid, positive slope, passing through the origin and rising very steeply.

Graph of a line on a coordinate grid, positive slope, passing through the origin and rising gradually.

The equations to choose from are:

$y = \tfrac{1}{7}x$, $y = 2x$, $y = \tfrac{1}{3}x$, $y = \tfrac{1}{2}x$, $y = 7x$, $y = 3x$