Free Printable Semester 1 Final Review

1.

Solve
$-6x=48$

a)

-8

b)

8

c)

42

d)

54

2.

Which equation represents the relationship "12 less than a number is -3"

a)

n + 12 = -3

b)

n - 3 = 12

c)

-3n = 12

d)

n - 12 = -3

3.

$3b-4=11$ Solve.

a)

5

b)

$\frac{7}{3}$

c)

$-\frac{7}{3}$

d)

-5

4.

Solve.
$5x-2=3x+4$

a)

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

b)

$x=\frac{3}{4}$

c)

$x=-3$

d)

$x=3$

5.

Solve.
$\left|x-5\right|=3$

a)

$x=-2\ and\ x=\ -13$

b)

$x=8$

c)

$x=8\ and\ x=2$

d)

$x=-2$

6.

Solve $4x+y=12$ for y.

a)

$y=-4x+12$

b)

$y=4x+12$

c)

$y=-4x+3$

d)

$y=4x+3$

7.

A professional rowing team is training for the Olympics. What was their average speed if they rowed 120 miles in 4.7 hours?
Use the formula $d=rt$ and round your answer to the nearest tenth

a)

564.0 mph

b)

25.5 mph

c)

115.3 mph

d)

70.4 mph

8.

The maximum capacity at a concert is 500 people. So far, 254 people have shown up. Which inequality can be solved to show the number of people $p$ that are still coming to the concert?

a)

$254+p<500$

b)

$254+p\le500$

c)

$254+p>500$

d)

$254+p\ge500$

9.

Solve and graph.
-83 < n - 80

a)

A

b)

B

c)

C

d)

D

10.

Solve.
$-4y<8$

a)

$y<-2$

b)

$y>-2$

c)

$y<12$

d)

$y>-32$

11.

Solve.
$2a-5<1$

a)

$a>3$

b)

$a<3$

c)

$a<-2$

d)

$a>-2$

12.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

13.

Solve.
$4x-6<-2x-9$

a)

$x<-1.5$

b)

$x>-1.5$

c)

$x<-0.5$

d)

$x>-0.5$

14.

Solve and graph:

a)

A

b)

B

c)

C

d)

D

15.

Which of the following is a solution of
$2x-1\ge-3\ \ \ and\ \ \ \ 2x-1<5$

a)

-2

b)

5

c)

1

d)

-3

16.

Solve.
$\left|x+2\right|\le4$

a)

$x\le2$

b)

$x\le2\ OR\ x\ge-6$

c)

$x\ge-6$

d)

$-6\le x\le2$

17.

Which set of values is a function?

a)

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

b)

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

c)

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

d)

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

18.

What is the DOMAIN and RANGE?

a)

$D:\ 0<x<5$
$R:\ -3<y<3$

b)

$D:\ -3<x<0$
$R:\ 5<y<-4$

c)

$D:\ -3<x<3$
$R:\ -4<y<5$

d)

$D:\ -4<x<5$
$R:\ -3<y<3$

19.

A boxing club costs $40 to join. Each set of gloves cost $2.50. Let g represent the number of gloves. Identify the independent and dependent variables. Then, write a rule in function notation for the situation.

a)

Independent: gloves rented
Dependent: total cost
$f\left(g\right)=2.5g-40$

b)

Independent: gloves rented
Dependent: total cost
$f\left(g\right)=2.5g+40$

c)

Independent: gloves rented
Dependent: total cost
$f\left(g\right)=40g+2.5$

d)

Independent: total cost
Dependent: gloves rented
$f\left(g\right)=40g-2.5$

20.

Which of the lines on the graph are a function?

a)

A and B

b)

C and D

c)

A, C, D

d)

A, B, C, D

21.

Which of the following data sets is best described by a linear model?

a)

(5, 1) (4, 2) (3, 4) (2, 8)

b)

(5, 12) (4, 6) (3, 3) (2, 1.5)

c)

(5, 1) (4, 3) (3, 5) (2, 7)

d)

(5, 1) (4, 0) (3, 1) (2, 4)

22.

Which is NOT a linear equation?

a)

$y=2-5x$

b)

$y=-5x+3$

c)

$y=2-5x^2$

d)

$y=-\frac{2}{3}x+5$

23.

Evaluate the function f(x) = 2x + 3

when x = -4

a)

-5

b)

-4

c)

-2

d)

-7

24.

For $f(x)=3x-8$ what is the value of x for which $f\left(x\right)=7$

a)

x = -5

b)

x = 5

c)

x = 13

d)

x = 10

25.

Which equation describes the graph

a)

y = |x - 1| - 1

b)

y = |x + 1| - 1

c)

y = |x - 1| +1

d)

y = |x + 1| + 1

26.

The graph represents all points where the y-value is equal to 1. Write an equation for the graph.

a)

x = 0

b)

y = 1

c)

y = 2

d)

x = 1

27.

Find the x- and y- intercepts of

4x - 10y = 20

a)

x - int = 4

y-int = -10

b)

x-int = 5

y-int = 2

c)

x - int = 5

y int = -2

d)

x -int = 4

y -int = -10

28.

Katie creates a budget for her weekly expenses. The graph shows how much money is in the account at different times. Find the slope of the line. Then tell what rate the slope represents.

a)

The slope is -50, meaning the money in the account is decreasing at a rate of $50 every week.

b)

The slope is 50, meaning the money in the account is increasing at a rate of $50 every week

c)

The slope is -0.02, meaning the money in the account is decreasing at a rate of $0.02 every week.

d)

The slope is 0.02, meaning the money in the account is increasing at a rate of $0.02 every week.

29.

Graph the function y= -x + 1?

a)

A

b)

B

c)

C

d)

D

30.

Describe the appearance of the graph $y=-6x+10$

a)

a line that slopes up by 6

b)

V-shape that opens up

c)

a line that slopes down by 6

d)

V-shape that is reflected

31.

Identify the vertex and give the minimum or maximum value of the function $y=-2|x-1|+3$

a)

The vertex is (1, 3). The graph opens downward, so the function has a maximum. The maximum is 3.

b)

The vertex is (1, 3). The graph intersects the x-axis, so the function has no maximum.

c)

The vertex is (1, 3). The graph opens downward, so the function has a minimum. The minimum is 1.

d)

The vertex is (3, 1). The graph opens downward, so the function has a maximum. The maximum is 3.

32.

What is an equation of the line above?

a)

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

b)

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

c)

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

d)

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

33.

What is the equation of the line that goes through points (-2, -1) and (-3, 5)?

a)

y = 6x + 13

b)

y = -6x - 13

c)

y = -1/6x + 1

d)

y = 1/6x - 1

34.

A car rental agency charges $28 to rent a car. They charge an additional $8 per day if the car comes installed with GPS. Which function rule best represents the total rental cost of a car with GPS installed for x days?

a)

y = 36x

b)

y = 8x + 28

c)

y = 28x + 8

d)

y = - 8x +28

35.

Write the function rule for the following table.

a)

y = 5x

b)

y = 5x + 1

c)

y = x + 5

d)

y = x + 1

36.

Write the equation in point-slope form of the line that passes through the given point (4, -7) with a slope of -1/4.

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

37.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

38.

Which equation describes the line that passes thru the point (5,4) and is parallel to line the line described by $y=3x+1$

a)

y = 3x - 11

b)

y = 3x + 11

c)

x = 3

d)

y = -3x - 11

39.

The slope of a line is m= ^-6/_{5 ,}what is the slope of a line that is perpendicular to it?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

40.

Write an equation of a line perpendicular to

y = 2/7x - 5 through (0, -3)

a)

y = -7/2x - 3

b)

y = -3x - 7/2

c)

y = 3x - 7/2

d)

y = 7/2x + 3

41.

Which scatter plot is the best example of a negative correlation?

a)

A

b)

B

c)

C

d)

D

42.

For which situation would you expect to see no correlation?

a)

The age of a car and the number of times it breaks down.

b)

The number of trees on a property and the number of leaves on the ground.

c)

The age of a person and the number of shoes they bought last year.

d)

The number of cookies in the jar and the length of time since they were baked.

43.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.

Assuming the trend shown by the scatter plot continues, which is the best prediction of the number of pages in a book with 19 chapters.

a)

150 pages

b)

170 pages

c)

190 pages

d)

210 pages

44.

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

45.

Find the common difference: -18, -23, -28, -33, ...

a)

d = -5

b)

d = 5

c)

d = -3

d)

d = 3

46.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

47.

Solve:
y = -1x - 5
4x - 8y = 4

a)

(-3, -2)

b)

(5, -7)

c)

(3, 9)

d)

(-5, 4)

48.

Which ordered pair is a solution of the system?

$y=3x+1$ ; $y=5x-3$

a)

(2, 3)

b)

(0, 1)

c)

(1, 2)

d)

(2, 7)

49.

Which system of equations cannot be readily solved by the substitution method?

a)

6x+12y=11

y=4x-10

b)

$11x-12y=-10$
$-7x+6y=10$

c)

$x=12y+-7$
$x+11y=-6$

d)

$x+12y=6$
$-7x+y=10$

50.

Two snow resorts offer private lessons to their customers. Embosser Ski Mountain charges $5 per hour plus $50 insurance. White Hills charges $10 per hour plus $30 insurance. For what number of hours is the cost of lessons the same for each resort?

a)

5 hours

b)

4 hours

c)

6 hours

d)

3 hours

51.

Karma wants to solve the system shown using the eliminating method. What should he do?

$x-4y=7$
$-5x+2y=9$

a)

multiply each term in $x-4y=7$ by 5 and add it to the other original equation.

b)

multiply each term in $x-4y=7$ by -5 and add it to the other original equation.

c)

Add the equations

d)

This system of equations has no solution, so Karma should not do anything.

52.

Noah wants to find an exact solution to the system shown. What method would be the most straightforward for him to use?

$10x-5y=9$
$10x-8y=-2$

a)

The elimination method because one variable in each equation has the same coefficients.

b)

This system has no solution so the method selected does not matter.

c)

The graphical method because it gives a visual representation of the solution.

d)

The substitution method because you can easily solve one equation for a variable.

53.

Solve.

$2x-y=13$
$3x+y=12$

a)

(-19, -3)

b)

(-3, 5)

c)

(5, -3)

d)

(9, 5)

54.

Ms. Baranko bought 7 tickets to a concert and spent $430. She bought a combination of child tickets for $40 each and adult tickets for $90 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, she bought?

a)

a=c-90

90a+40c=430

b)

$90a+40c=430$
$a+c=7$

c)

$a+c=560$
$a+c=7$

d)

$40a+40c=437$
$a+c=7$

55.

Solve.

y = 3x + 2

y - 3x = 2

a)

no solution

b)

infinite solutions

c)

(0 , 0)

d)

(2 , 2)

56.

How many solutions does the system graphed have?

a)

1

b)

None

c)

Infinitely Many Solutions

d)

2

57.

When solving a system of equation algebraically, your final step is 9 = 9. How many solutions does this system have?

a)

infinite

b)

18

c)

1

d)

0

58.

For which would you draw a dashed boundary line and shade to the right?

a)

$x\ge-4$

b)

$x>-4$

c)

$x\le-4$

d)

$x<-4$

59.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

60.

Solve the system of inequalities graphically:
$y>-x-2$
$y<-5x+2$

a)

A

b)

B

c)

C

d)

D

Semester 1 Final Review

Total questions: 60

Worksheet time: 14hrs 23mins

Similar Resources on Wayground