Quiz about ALG - Semester 1 Review

Question 1

Which of the graphs has a negative slope?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 2

Which of the graphs has a positive slope?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 3

Which of the following graphs has an undefined slope?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 4

Which of the following graphs has a zero slope?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 5

What is the equation of a line that has slope 2 and y-intercept (0,-3)?

Express the answer in slope-intercept form.

Accepted Answer

$$y=2x-3$$

Answer

$$y=-3x+2$$

Answer

$$y=-3x-2$$

Answer

$$y=2x+3$$

Question 6

The volume of a pyramid is given by the formula $$V=\frac{1}{3}Bh$$ , where V represents the volume of the pyramid, B represents the area of the base, and h represents the height. Which equation is equivalent to this formula so that it is solved for the height?

Accepted Answer

$$h=\frac{3V}{B}$$

Answer

$$h=\frac{3B}{V}$$

Answer

$$h=\frac{V}{3B}$$

Answer

$$h=3BV$$

Question 7

What is the solution to the inequality below?

$$5x-10\ge-3x+14$$

Accepted Answer

$$x\ge3$$

Answer

$$x\ge-3$$

Answer

$$x\le-3$$

Answer

$$x\le3$$

Question 8

What are the solutions for the equation below?

$$\left|5x+10\right|=25$$

Accepted Answer

$$x=3\ or\ x=-7$$

Answer

$$x=3$$

Answer

$$x=-3\ or\ x=7$$

Answer

$$	heta$$

Question 9

Which operation was performed between steps i and ii?

Accepted Answer

Add 7 to both sides

Answer

Subtract 7 on both sides

Answer

Multiply both sides by 7

Answer

Divide both sides by 7

Question 10

Find the solution to the equation below:

$$4\left(x-1\right)+3\left(2x-5\right)=6$$

Accepted Answer

2.5

Answer

-2.5

Answer

-0.9

Answer

0.9

Question 11

When the information in the table is graphed, what is the slope of the line?

Accepted Answer

5

Answer

-5

Answer

$$-\frac{1}{5}$$

Answer

$$\frac{1}{5}$$

Question 12

Josie sets up a snow cone stand. She spends $20 on supplies. She sells each snow cone for $3. Let p represent the profit in dollars and n represent the number of snow cones. Which equation represents the profit in dollars (p) in terms of the number of snow cones (n)?

Accepted Answer

$$p=3n-20$$

Answer

$$p=3n+20$$

Answer

$$p=-3n+20$$

Answer

$$p=\left(3-20\right)n$$

Question 13

What is the solution to the equation below:

$$-8z+12=26$$

Accepted Answer

$$z=-\frac{7}{4}$$

Answer

$$z=2$$

Answer

$$z=-\frac{11}{8}$$

Answer

$$z=\frac{14}{8}$$

Question 14

Which linear function represents the graph below?

Accepted Answer

$$y=\frac{3}{2}x+3$$

Answer

$$y=\frac{2}{3}x-2$$

Answer

$$y=-\frac{2}{3}x-2$$

Answer

$$y=-\frac{3}{2}x+3$$

Question 15

Which equation represents the linear function in the table below?

Accepted Answer

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

Answer

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

Answer

$$f\left(x\right)=4x+1$$

Answer

$$f\left(x\right)=8x+1$$

Question 16

Zander owns an electrician business. He charges his customers $60 per hour plus a service fee of $100 for each visit to a residence. Which function rule represents the cost in dollars (y) in terms of the number of hours (x)?

Accepted Answer

$$y=60x+100$$

Answer

$$y=-60x+100$$

Answer

$$y=60x-100$$

Answer

$$y=100x+60$$

Question 17

What is the slope of the points on the graph shown?

Accepted Answer

3

Answer

$$-3$$

Answer

$$-\frac{1}{3}$$

Answer

$$\frac{1}{3}$$

Question 18

What is the solution to the equation below?

$$6\left(h-1\right)-12=-2\left(h+1\right)$$

Accepted Answer

2

Answer

-4.5

Answer

-2

Answer

4.5

Question 19

What is the equation of the line graphed below?

Accepted Answer

y = 2

Answer

x = 0

Answer

y = 0

Answer

x = 2

Question 20

What is the equation of the line graphed below?

Accepted Answer

x = -5

Answer

x = 0

Answer

y = 0

Answer

y = -5

Question 21

Which function is represented by the graph below?

Accepted Answer

$$y=-\frac{5}{2}x+5$$

Answer

$$y=-\frac{5}{2}x+2$$

Answer

$$y=-\frac{2}{5}x+2$$

Answer

$$y=-\frac{2}{5}x+5$$

Question 22

The school athletic department is having a golfing event as a fundraiser. The equation p = 15(5t - 25) can be used to calculate the profit in dollars, p, in terms of the number of tickets sold, t. Which equation is equivalent to the profit equation?

Accepted Answer

$$p=75t-375$$

Answer

$$p=20t-10$$

Answer

$$p=30t-25$$

Answer

$$p=-10t$$

Question 23

What is the y-intercept of the line graphed below?

Accepted Answer

$$-8$$

Answer

$$-\frac{4}{3}$$

Answer

$$-\frac{3}{4}$$

Answer

$$6$$

Question 24

Which inequality is represented by the graph below?

Accepted Answer

$$-5x+7>-3$$

Answer

$$-5x+7\le-3$$

Answer

$$-5x+7\ge-3$$

Answer

$$-5x+7<-3$$

Question 25

What is the solution to the compound inequality below?

$$-3<2x+7\le13$$

Accepted Answer

$$-5<x\le3$$

Answer

$$-10<x\le6$$

Answer

$$-2<x\le10$$

Answer

$$4<x\le20$$

Question 26

Which values are solutions to the compound inequality below? Select all the correct answers.

$$-1\le3-x<4$$

Accepted Answer

0

Accepted Answer

2

Accepted Answer

4

Answer

-1

Answer

5

Question 27

Which compound inequality represents the graph below?

Accepted Answer

$$x<3\ or\ x\ge6$$

Answer

$$3<x\le6$$

Answer

$$3\le x<6$$

Answer

$$x\le3\ or\ x>6$$

Question 28

How many solutions are there for the equation below?

3(5c - 2) = 15c - 6

Accepted Answer

Infinitely many

Answer

0

Answer

1

Answer

2

Question 29

What is the slope of the line that passes through the points (3,-2) and (-1,-8)?

Accepted Answer

$$\frac{3}{2}$$

Answer

$$-\frac{3}{2}$$

Answer

$$-\frac{2}{3}$$

Answer

$$\frac{2}{3}$$

Question 30

What is the slope of the line that passes through the points (-5,8) and (-5,-1)?

Accepted Answer

undefined

Answer

$$-\frac{9}{10}$$

Answer

0

Answer

$$\frac{9}{10}$$

Question 31

What is the slope of the line that passes through the points (2,-1) and (-3,-1)?

Accepted Answer

0

Answer

$$-\frac{2}{5}$$

Answer

$$\frac{2}{5}$$

Answer

undefined

Question 32

Solve the equation below for t:

$$I=prt$$

Accepted Answer

$$t=\frac{I}{pr}$$

Answer

$$t=I-pr$$

Answer

$$t=pr-I$$

Answer

$$t=\frac{pr}{I}$$

Question 33

Which of the following tables represents a functional relationship? Select all correct answers.

Accepted Answer

A

Accepted Answer

C

Answer

B

Answer

D

Question 34

What is the solution of the equation below?

$$5d+7=8d-11-3d$$

Accepted Answer

$$	heta$$

Answer

-1.8

Answer

-0.4

Answer

All real numbers

Question 35

If $$f\left(x\right)=3x-7$$ , what is the value of $$f\left(-2\right)$$

Accepted Answer

-13

Answer

-1

Answer

1

Answer

13

Question 36

What is the domain and range of the set of ordered pairs below?

{(-3,1), (-2,4), (-1,6), (0,7), (1,10), (2,9), (3,5)}

Accepted Answer

A. Domain: {-3,-2,-1,0,1,2,3}

Range: {1,4,5,6,7,9,10}

Answer

B. Domain: {1,4,5,6,7,9,10}

Range: {-3,-2,-1,0,1,2,3}

Answer

C. Domain: {6}

Range: {9}

Answer

D. Domain: {9}

Range: {6}

Question 37

What is the domain and range of the graph below?

Accepted Answer

Domain: All Reals

Range: $$y\ge-3$$

Answer

Domain: $$x\ge1$$

Range: $$y\ge-3$$

Answer

Domian: $$x\ge-3$$

Range: $$y\ge1$$

Answer

Domain: All Reals

Range: $$y\ge1$$

Question 38

What is the domain and range of the graph below?

Accepted Answer

Domain: All Reals

Range: $$y\le-3$$

Answer

Domain: $$x\ge-2$$

Range: $$y\ge-3$$

Answer

Domain: $$x\ge-2$$

Range: $$y\le-3$$

Answer

Domain: All Reals

Range: $$y\ge-3$$

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