Algebraic Reasoning

What function represents the same relationship?

• w(x) = 0.5x + 5

• w(x) = 5x + 5

• w(x) = 0.1x + 5

• w(x) = 10x + 5

Tags

CCSS.HSF-BF.A.1A

Which expression below best describes the graph above?

• y = 2/3x + 2

• y = -2/3x + 3

• y = -2/3x + 2

• y = 2/3x + 3

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which equation below best represents this function?

• y = x + 2

• y = 1/2x + 2

• y = x - 2

• y = 1/2x - 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the equation in slope-intercept form of the line that passes through the point (2, −2) and is perpendicular to the line represented by y = 2/5x + 2?

• y = 5/2x - 7

• y = 5/2x + 7

• y = -5/2x - 3

• y = -5/2x + 3

Which of the following equations passes through the point (0, -6) and is parallel to the line 6x + 2y = 8?

• y = -3x - 6

• y = 8x

• y = 4x + 6

• y = x + 8

Suzette is opening an office cleaning business. Her competitor charges $35 per hour plus a $42 cleaning supply fee. Which inequality in two variables could be used to represent where Suzette’s charges, S, would be at most that of her competitor’s charges?

• S > 35h + 42

• S ≥ 35h + 42

• S ≤ 35h + 42

• S < 35h + 42

Which linear inequality can be used to represent the graph?

• y > 1/2x – 3

• y < 2x – 3

• y < 1/2x – 3

• y > 2x – 3

Tags

CCSS.HSA.REI.D.12

A new spiral notebook contains 30 more sheets of paper than a new memo book. The total number of sheets of paper in 3 new spiral notebooks and 5 new memo books is 810. Which system of equations can be used to find s, the number of sheets of paper in one new spiral notebook, and m, the number of sheets of paper in one new memo book?

• s − m = 30 and 3s + 5m = 810

• s + m = 30 and 3s + 5m = 810

• s − m = 30 and 5s + 3m = 810

• s + m = 30 and 5s + 3m = 810

Tags

CCSS.HSA.CED.A.3

The owner of a clothing store buys T-shirts for x dollars each and sells them for y dollars each. Last month she bought 600 T-shirts and sold 500 of them and made a profit of $2,800. This month she bought 400 T-shirts and sold them all and made a profit of $2,400. How much did she buy the T-shirts for?

• $2 each shirt

• $8 each shirt

• $4 each shirt

• $6 each shirt

Tags

CCSS.8.EE.C.8C

A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. How many dimes are in the bag?

• 7 dimes

• 10 dimes

• 11 dimes

• 6 dimes

Tags

CCSS.8.EE.C.8C