Quiz about Algebra 1 Final Semester Review

Question 1

Solve the system of equations by substitution:

Accepted Answer

$$\left(6,-1\right)$$

Answer

$$\left(5,-1\right)$$

Answer

$$\left(2,-1\right)$$

Answer

$$\left(3,2\right)$$

Question 2

Solve the system of equations by elimination:

Accepted Answer

$$\left(-\frac{1}{3},\frac{4}{3}\right)$$

Answer

$$\left(\frac{1}{9},\frac{4}{3}\right)$$

Answer

$$\left(-\frac{1}{3},\frac{16}{3}\right)$$

Answer

$$\left(-2,2\right)$$

Question 3

Select ALL the equations that could represent the linear function shown in the graph.

Accepted Answer

$$y-2x=4$$

Accepted Answer

$$\frac{1}{2}y=x+2$$

Accepted Answer

$$y-2=2\left(x+1\right)$$

Answer

$$y=4x+4$$

Question 4

Select ALL of the functions below that could represent the graph.

Accepted Answer

$$f\left(x\right)=\left(0.5\right)^x$$

Answer

$$f\left(x\right)=\left(2\right)^x$$

Answer

$$f\left(x\right)=\left(.25\right)^x$$

Answer

$$f\left(x\right)=\left(4\right)^x$$

Question 5

Consider the function represented by the recursive formula below: $$f\left(1\right)=5$$ and $$f\left(n\right)=f\left(n-1\right)+7$$ . Which of the following equations represent the explicit formula for the function $$f\left(n\right)$$ ?

Accepted Answer

$$f\left(n\right)=7n-2$$

Answer

$$f\left(n\right)=2\left(7\right)^n$$

Answer

$$f\left(n\right)=7n+5$$

Answer

$$f\left(n\right)=5\left(7\right)^n$$

Question 6

Solve the equation.

Accepted Answer

z = 1, z = - 5

Answer

z = 1

Answer

z = -1, z = -5

Answer

z = -5

Question 7

Solve the equation. 10 (x -1) = -2x + 62

Accepted Answer

6

Answer

-6

Answer

12

Answer

4

Question 8

Determine the number of solutions to the equation.

Accepted Answer

no solution

Answer

x = -6

Answer

y = 6

Answer

infinitely many solutions

Question 9

A furnace repair person charges an initial fee of $80 plus $30 per hour to do repairs. After how many hours would the cost of the repair be at least $320?

Accepted Answer

8 hours

Answer

6 hours

Answer

7 hours

Answer

9 hours

Question 10

Which compound inequality is represented by the graph?

Accepted Answer

-1 < x + 1 < 4

Answer

-1 < x - 1 < 4

Answer

-2 < x - 1 < 3

Answer

-2 < 2x < 3

Question 11

Write an equation in slope intercept form.

Accepted Answer

y = -3/2x + 3

Answer

y = -3x + 3

Answer

y = 3x - 3

Answer

y = 3/2x + 3

Question 12

Describe the transformations for this graph compared to the parent graph.

Accepted Answer

flipped, 1 unit right, stretched

Answer

flipped, 1 unit down, stretched

Answer

flipped, 1 unit left, stretched

Answer

flipped, 1 unit up, stretched

Question 13

-6x + 5 = -6x + 5

Accepted Answer

infinitely many solutions

Answer

no solution

Answer

two solutions

Answer

one solution

Question 14

Which linear function f has the values f(0) = 2 and f (-1) = 0?

Accepted Answer

f(x) = 2x + 2

Answer

f(x) = -2x + 2

Answer

f(x) = 1/2x - 2

Answer

f(x) = -1/2x - 2

Question 15

Which of the following is the equation of the line that passes through the point (1, 2) and has a slope of 2?

Accepted Answer

y - 2 = 2 (x - 1)

Answer

y + 2 = 2 (x + 1)

Answer

y - 2 = 2 (x + 1)

Answer

y - 1 = 2 (x - 1)

Question 16

Which of the following lines are parallel to y = -1/2x + 4?

Accepted Answer

y = -1/2x + 7

Answer

y = 2x + 4

Answer

y = 1/2x + 2

Answer

y = 1/2x + 4

Question 17

Your work truck can haul at most 1000 pounds. The inequality 10x + 50y < 1000 represents the number x of bags of potting soil and the number y of bags of mulch your truck can haul. Can you haul 20 bags of potting soil and 20 bags of mulch?

Accepted Answer

no

Answer

yes

Algebra 1 Final Semester Review

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