Algebraic Reasoning Finals Reviewer

Which expression is equivalent to 9x²−60x+100?

• (3x-10)(3x-10)

• (9x-10)(9x+10)

• (3x+10)(3x-10)

• (9x-10)(9x-10)

Tags

CCSS.HSA.APR.C.4

Which graph represents the solution set of x - y > 2?

• A

• B

• C

• D

Tags

CCSS.HSA.REI.D.12

Mr. Lopez asked his students to find an equation with a slope of 3 and the same x-intercept as the line 2x−y=8.

What is the value of the x-intercept of the line?

• 9

• 2

• 8

• 4

A computer originally costs $1,800 and loses 12% of its value each year.
Which function models the value of the computer after x years?

• V(t) = 1800 x (0.88)^t

• V(t) = 1800 x (1.12)^t

• V(t) = 1800 x (0.12)^t

• V(t) = 1800 - 0.12t

Tags

CCSS.HSF.LE.A.2

Which representation is equivalent to the expression 2x² - 3x - 2 ?

• 
• x (2x+1) - 2(2x+1)

• (2x+1) (x-2)

• 

Tags

CCSS.HSA.APR.C.4

What value of x makes the equation 5x + 3 − 2x = 3(x + 1) true?

• 0

• 1

• 2

• 3

A bakery uses two types of flour to bake bread: whole wheat flour bags weighing 3 lb each and white flour bags weighing 5 lb each. The bakery cannot use more than 150 lb of flour in total for a day's baking.

Which inequality represents all possible combinations of w, the number of whole wheat flour bags, and b, the number of white flour bags used?

• 3w + 5b < 150

• 3w + 5b ≥ 150

• 3w + 5b < 150

• 5w + 3b ≤ 150

Which ordered pair is in the solution set of y < 3/4 x + 4?

• (4 , 7)

• (0 , 5)

• (8 , 9)

• (4 , 6)

A rectangle has a length of (5+x) inches and a width of 10 inches.
A triangle has a base of 20 inches and a height of (6x−10) inches.

The area of the rectangle is equal to the area of the triangle.

What is the value of x?

• 3

• 6

• 2

• 8

Tags

CCSS.8.EE.C.7B

Alex bought 4 sandwiches and 6 drinks for a total of $54.

Let x represent the price of one sandwich and y represent the price of one drink.

Which equation represents the total amount Alex spent?

• 4x − 6y = 54

• 6x + 4y = 54

• 4x + 6y = 54

• 4x + 6y < 54