Algebra 1 Review

If a town with a population of 10,000 doubles every 14 years, what will the population be in 42 years and is it modeled by a linear function or an exponential function?

• A) 30,000; linear function

•  B) 60,000; exponential function

• C) 72,000; linear function

• D) 80,000; exponential function

Solve this linear system.  $\frac{r}{2}+\frac{2}{3}=1$  
                                              $\frac{r}{4}+\frac{2s}{3}=-1$  

• A) (4, 3)

•  B) (3, 4)

•  C) (-4, 3)

•  D) (4, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Rewrite the equation in vertex form $y=x^2-6x+18$  

•  $A)y=(x+3)^2+9$  

•  $B\ y=\left(x-3\right)^2+9$  

•  $C)y=(x-3)^2+27$  

•  $D)y=(x-6)^2+18$  

A picture is 5 inches by 7 inches. There is a frame around the picture that is of uniform width. The area of the frame and the picture combined is 72 in2. How wide is the picture frame?

• A) (5 + x)(7 + x) = 72

• B) (5 - x)(7 - x) = 72

• C) (5 + 2x)(7 + 2x) = 72

• D) (5 - 2x)(7 - 2x) = 72

Function 1: y = 4x + 5

Function 2: The line passing through the points (1, 6) and (3, 10).

• A) Function 1, because the slope is 5 and the slope of function 2 is 4.

• B) Function 1, because the slope is 4 and the slope of function 2 is 2.

• C) Function 2, because the slope is 7 and the slope of function 1 is 5.

• D) Function 2, because the slope is 5 and the slope of function 1 is 4.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

A software company is selling a new game in a standard edition and a collector's edition. The box for the standard edition has a

volume of 20 cubic inches, and the box for the collector's edition has a volume of 30 cubic inches, the company receives an order

for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which system of equations can be

used to determine the number of standard edition games, s, and collector's edition games, c, that were ordered?

• A)

  75 − s = c

  20s + 30c = 1,870

• B)

  75 + s = c

  20s + 30c = 1,870

• C)

  s − c = 75

  25(s + c) = 1,870

• D)

  s − c = 75

  30s + 20c = 1,870

Tags

CCSS.HSA.CED.A.3

Max bought a new speed boat that cost of $33,000. The boat depreciates approximately 18% of its value each year. Write an

equation to model the decay value of the speed boat.

• A) A = 33,000

  0.18t

• B) A = 33,000

  1.82t

• C) A = 33,000

  0.82/t

• D) A = 33,000(0.82)t

Tags

CCSS.HSF.LE.A.2

 $\frac{1}{4}(x+4x)+12=\frac{1}{2}(2−x)+10$  

9) In the equation, what is the value of x?

• -4/7

• -7/4

• 4/7

• 7/4

Tags

CCSS.8.EE.C.7B

Which choice correctly shows the solution(s) of the equation x

2 = 400?

• $A)x=\sqrt{400}$

• $B)x=−\sqrt{400}$

• $C)x=±\sqrt{20}$

• $x=±\sqrt{400}$

Tags

CCSS.8.EE.A.2

 $9x^2-63x-702$  Factor to find the zeros of the function defined by the quadratic expression

• A) x = 6 or x = 13

• B) x = 6 or x = −13

• C) x = −6 or x = 13

• D) x = −6 or x = −13
  

Tags

CCSS.HSA-REI.B.4B