Topic 2 Linear Equations Review

Select the graph of the equation y = 2x + 3 ?

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Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home. After 15 minutes he is 2 miles from home. Which equation models Ye’s distance from home, y , in terms of minutes, x ?

• y = 5x - 0.2

• y = 0.2x

• y = 11/7 x - 27/7

• y = -0.2x + 5

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Lourdes is reading a biography for her history class. She reads 30 pages each day. After 9 days, Lourdes has read ⅗ of the biography. Write a linear equation to represent the number of pages Lourdes still has to read after x days.

• y = -30x + 450

• y = 30x - 450

• y = 450 - 30x

• y = 30x + 450

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CCSS.6.EE.C.9

Lourdes is reading a biography for her history class. She reads 30 pages each day. After 9 days, Lourdes has read 3 of the

5 biography. A linear equation

to represent the number of pages Lourdes still has to read after
x days is y = -30x + 450. What does the y intercept represent?

• pages already read

• pages in the book

• pages read each day

• days it takes to finish the book

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CCSS.HSF.LE.B.5

A flashlight shines straight up into the sky, 9 ft to the right of a tent which is represented by the origin on the coordinate plane. For which values of A, B, and C will Ax + By = C represent the line on which the beam of light lies, where x is the horizontal distance and y is the vertical distance, in feet, from the tent?

• A = 1, B = 0, C = 9

• A = 0, B = 1, C = 9

• A = 1, B = 1, C = 0

• A = 0, B = 0, C = 9

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CCSS.HSA.CED.A.2

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The line shown represents the balance y of Ben’s lunch account. Two days ago, he owed $1. What is an equation of the line in point-slope form?

• y - 1 = 2(x + 2)

• y + 1 = -2(x + 2)

• y - 1 = -2(x - 2)

• y + 1 = 2(x + 2)

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Byron jogs home from a park at an average speed of 6 mi/h. After half an hour he is 4 miles from home. What is an equation, in point-slope form, that represents Byron’s distance from home, y , after x hours?

• y - 4 = -6(x - ½)

• y - 6 = -4(x - ½)

• y - ½ = -6(x - 4)

• y - 4 = 6(x + ½)

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An elevator rises steadily up a skyscraper. After 4 s it is 33 m above the ground. Two seconds later it is 47 m above the ground. Which equation models its height, y, with respect to time, x?

• y - 33 = -7(x - 4)

• y - 47 = -7(x - 2)

• y - 33 = 7(x - 4)

• y + 33 = 7(x + 4)

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CCSS.6.EE.C.9

What are the x- and y-intercepts of the equation 5x + 8y = 20?

• x-intercept: 4, y-intercept: 2.5

• x-intercept: 2, y-intercept: 5

• x-intercept: 5, y-intercept: 2

• x-intercept: 4, y-intercept: 2

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Jake needs to buy 120 beverages for a party. What equation, in standard form, determines the numbers of 8-packs of juice x and 12-packs of water y that Jake can buy?

• 8x + 12y = 120

• 8x + 10y = 120

• 10x + 12y = 120

• 8x + 12y = 100

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