Quiz about Algebra I Review

Question 1

Which graph best represents $y=10\left(0.85\right)^x$ ?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 2

Find the slope

Accepted Answer

-5/3

Answer

-3/5

Answer

5/3

Answer

3/5

Question 3

The slopes of parallel lines are...

Accepted Answer

the same

Answer

opposite

Answer

always different

Question 4

Find the slope of the line that passes through:
(6,7) and (4,2)

Accepted Answer

5/2

Answer

2/5

Answer

-5/2

Answer

-1/2

Question 5

Question 5.

Accepted Answer

22 z7

Answer

2¹⁴ z¹³

Answer

22/z7

Answer

2¹⁴/ z⁷

Question 6

Solve for y:
5x - y = 16

Accepted Answer

y = 5x - 16

Answer

-y = 5x + 16

Answer

y = 5x + 16

Answer

x = 5y - 16

Question 7

Connor has sold 15 cups of lemonade at his stand and will sell 5 more cups per hour. Write an equation to represent this situation.

Accepted Answer

y = 5x + 15

Answer

y = 10x + 5

Answer

y = 20x

Answer

y = 15x + 5

Question 8

Write the equation of the line.

Accepted Answer

y= -3x-3

Answer

y= -1x-3

Answer

y= -3x-1

Answer

y=-1/3x-1

Question 9

Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

Accepted Answer

y = 40x + 150

Answer

y = 150 + 40

Answer

y = 150x + 40

Answer

y = 40 + 150x

Question 10

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

Accepted Answer

y = 12.5x + 30

Answer

y = 12.5 + 30

Answer

y = 30x + 12.5

Answer

y = 30 - 12.5x

Question 11

Which graph best represents a system of equations that has no solution?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 12

Which graph best represents the solution set of $$y>3x-4$$

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 13

Which of the following equations match the given graph?

Accepted Answer

$$y\ge-\frac{5}{4}x+3$$

Answer

$$y\le-\frac{5}{4}x+3$$

Answer

$$y<\frac{5}{4}x+3$$

Answer

$$y>-\frac{5}{4}x+3$$

Question 14

If the blue graph (top graph) is $$f\left(x\right)\ =\ x^{2\ }$$ , then the red graph (bottom graph) must be....

Accepted Answer

$$f\left(x\right)=x^{2\ }-5$$

Answer

$$f\left(x\right)\ =\ x^{2\ }+5$$

Answer

$$f\left(x\right)=\ \left(x-5\right)^{2\ }$$

Answer

$$f\left(x\right)\ =\ \left(x+5\right)^{2\ }$$

Question 15

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Question 16

What functions describes this graph?

Accepted Answer

Exponential

Answer

Linear

Answer

neither

Question 17

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(0, 1)

Question 18

A construction manager is monitoring the progress of the build of a new house. The scatterplot and table show the number of months since the start of the build and the percentage of the house still left to be built. A linear function can be used to model the relationship. What functions best models the data?

Accepted Answer

$$y=-13.5x+97.8$$

Answer

$$y=-13.5x+7.3$$

Answer

$$y=97.8x-13.5$$

Answer

$$y=7.3x-97.8$$

Question 19

Which graph best represents y = -4(x+3)-2

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 20

A system of linear equations is represented by line h and line j. A table representing some points on line h and the graph of line j are shown. Which system of equations is best represented by lines h and j?

Accepted Answer

$$y=-\frac{3}{4}x-5$$

$$y=-\frac{5}{4}x+1$$

Answer

$$y=\frac{4}{3}x-5$$

$$y=\frac{4}{5}x+1$$

Answer

$$y=\frac{3}{4}x-5$$

$$y=\frac{5}{4}x+1$$

Answer

$$y=-\frac{4}{3}x-5$$

$$y=-\frac{4}{5}x+1$$

Question 21

$$97=-3\left(6n-5\right)-8$$

Accepted Answer

$$-5$$

Answer

$$-10$$

Answer

$$16$$

Answer

$$-2$$

Question 22

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. How many of each type of ticket were sold?

Accepted Answer

10 adults, 11 children

Answer

12 adults , 9 children

Answer

11 adults, 10 children

Answer

9 adults, 12 children

Question 23

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

Accepted Answer

1

Answer

-1

Answer

3

Answer

4

Question 24

Which function is represented by the following equation.

y = 3^x

Accepted Answer

Exponential

Answer

Linear

Answer

Quadratic

Answer

None of the Above

Question 25

Which set of values is a function?

Accepted Answer

(6,-5) (7, -3) (8, -1) (9, 1)

Answer

(9,5) (10,5) (9,-5) (10,-5)

Answer

(3,4) (4,-3) (7,4) (3, 8)

Answer

(2, -2) (5, 9) (5, -7) (1, 4)

Question 26

Which is a zero of the graph?

Accepted Answer

-1

Answer

0

Answer

1.5

Answer

-3

Question 27

Evaluate f(x)=-2x+13   for f(10)

Accepted Answer

-7

Answer

1

Answer

-8

Answer

7

Question 28

What kind of graph is this?

Accepted Answer

Quadratic

Answer

Linear

Answer

Exponential

Question 29

The graph of the equation $$y=2\cdot\left(\frac{3}{2}\right)^x+1$$ contains which of hte following points? Select all that apply.

Accepted Answer

$$\left(1,\ 4\right)$$

Accepted Answer

$$\left(2,\ \frac{11}{2}\right)$$

Answer

$$\left(-2,\ \frac{14}{9}\right)$$

Answer

$$\left(-1,\ 0\right)$$

Answer

$$\left(0,\ 1\right)$$

Question 30

The function $$f\left(x\right)=-3x^2-6x+24$$ has two real zeros. Select the real zeros of $$f\left(x\right)$$ .

Accepted Answer

$$-4$$

Accepted Answer

$$2$$

Answer

$$-6$$

Answer

$$-2$$

Answer

$$4$$

Question 31

What is the slope of the line graphed above?

Accepted Answer

undefined

Answer

negative

Answer

positive

Answer

zero

Question 32

What is the equation of the line graphed above?

Accepted Answer

x=3

Answer

y=3

Answer

y=3x

Answer

x= -3

Question 33

What is the equation of the line graphed above?

Accepted Answer

y= -4

Answer

x= -4

Answer

y= -4x

Answer

y=x

Question 34

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

Accepted Answer

f(x)=400(1+0.03)^x

Answer

f(x)=400(1+3)^x

Answer

f(x)=400(1-0.03)^x

Answer

f(x)=400(0.03)^x

Question 35

What type of function is f(x)=2(1/7)^x ?

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

None of the Abovee

Question 36

In an exponential function, what does the 'a' represent?

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 37

Which function models this table?

Accepted Answer

$$f\left(x\right)=2\cdot4^x$$

Answer

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

Answer

$$f\left(x\right)=4\cdot2^x$$

Answer

$$f\left(x\right)=8^x$$

Question 38

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

Accepted Answer

13%

Answer

87%

Answer

800%

Answer

8.7%

Question 39

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?

Accepted Answer

The number of elephants increases by 1.5% each year.

Answer

The number of elephants was 1,015 in 1975.

Answer

The number of elephants increases by 101.5% each year.

Answer

The number of elephants is multiplied by 1.015 each year.

Algebra I Review

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