Free Printable Chapters 1-4 Review

1.

Identify the property
(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

a)

commutative of multiplication

b)

identity of multiplication

c)

inverse of multiplication

d)

associative of multiplication

2.

Pick the answer that is an example of the inverse property of multiplication

a)

5 ⋅ 0 = 5

b)

5 ⋅ 1/5 = 1

c)

5 - 5 = 0

d)

5 ⋅ 1 = 5

3.

Select all: Integers

a)

4.2

b)

4

c)

-4.2

d)

4/3

e)

-2

4.

Select all: Which categories does the number zero belong to?

a)

Rational number

b)

Integer

c)

Whole number

d)

Natural number

5.

Classify the following: -78

a)

Integer

b)

integer, real

c)

integer, whole, rational

d)

integer, rational, real

6.

Solve for k

7k -4 = 5k + 16

a)

k = 20

b)

k = 10

c)

k = 2

7.

-72 = 6(n - 2)

a)

10

b)

35/3

c)

-10

d)

other

8.

Solve the equation:

-3y + 5 = 8y - 6

a)

y = 1

b)

y = -2

c)

y = -2.2

9.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

10.

Which of the following setups would be used to find four consecutive integers?

a)

n
n+2
n+4
n+6

b)

n
2n
4n
6n

c)

n+1
n+2
n+3
n+4

d)

n
n+1
n+2
n+3

11.

The sum of three consecutive odd numbers is -27. What is the largest of the three numbers?

a)

-7

b)

-9

c)

-11

d)

-13

12.

A shop sells two kinds of nuts, one that costs $500 per kg and another that costs $540 per kg. How many kilograms of each type of nut should be mixed in order to have 40 kg of a mixture worth $525 per kilogram?

a)

25 kg @ $540/kg + 15 kg @ $500/kg

b)

10 kg @ $540/kg + 30 kg @ $500/kg

13.

Find the amounts of 20% salt solution and 8% salt solution that should be mixed together to make 500 ml of 15% salt solution.

a)

291.67 ml of 20% salt solution,
208.33 ml of 8% salt solution

b)

280 ml of 20% salt solution,
220 ml of 8% salt solution

c)

208.33 ml of 20% salt solution,
291.67 ml of 8% salt solution

d)

220 ml of 20% salt solution,
280 ml of 8% salt solution

14.

A ball rolls down a steep hill. It travels 500 m in 1 minute. It then rolls on a flat surface for an additional 3 minutes and travels 300 m. What is the average speed of the ball?

a)

.5 m/min

b)

100 m/min

c)

200 m/sec

d)

200 m/min

15.

Two trains leave from the same station at the same time and travel in opposite directions. Train A is traveling 60mph faster than Train B. What is true about the situation? Check all that apply.

a)

Train A will travel farther than Train B in the same amount of time

b)

Train B will travel farther than Train A in the same amount of time.

c)

The total distance between the two trains is equal to the sum of their individual distances traveled.

d)

The distance between Train A and the station is equal to the distance of Train B and the station

16.

Solve for y:
5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

17.

What should we do first to solve for x?
y=mx+b

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

18.

Name the inequality $>$

a)

Less than or equal to

b)

Less than

c)

Greater than or equal to

d)

Greater than

19.

Select the correct inequality:

x is greater than or equal to 10

a)

$x\le10$

b)

$x\ge10$

c)

$x>10$

20.

$-12$ ___ $-9$

a)

$\ge$

b)

$\le$

c)

$>$

d)

$<$

21.

Paul wants to work a maximum of 20 hours per week in his new job.

Use "n" to represent the number of hours Paul wants to work.

a)

$n\le20$

b)

$n\ge20$

c)

$n>20$

d)

$n<20$

22.

Solve the Inequality below.

*If it is a single inequality, enter your answer with the variable on the left-hand side.

**If it is an "and" compound inequality, enter the inequality as a single string (ex. 15<x<20

***If it is an "or" compound inequality, enter the two inequalities with variables on the left-hand side, with an "or in between (one space on either side) (ex. x<5 or x>10)

$\frac{6.5-x}{3}<7.1$

(a)

23.

Solve the Inequality below.

*If it is a single inequality, enter your answer with the variable on the left-hand side.

**If it is an "and" compound inequality, enter the inequality as a single string (ex. 15<x<20

***If it is an "or" compound inequality, enter the two inequalities with variables on the left-hand side, with an "or in between (one space on either side) (ex. x<5 or x>10)

$\frac{4}{3}x>11\ \ or\ \ \ 7-x>0$

(a)

24.

Solve the Inequality below.

*If it is a single inequality, enter your answer with the variable on the left-hand side.

**If it is an "and" compound inequality, enter the inequality as a single string (ex. 15<x<20)

***If it is an "or" compound inequality, enter the two inequalities with variables on the left-hand side, with an "or in between (one space on either side) (ex. x<5 or x>10)

$-19<\frac{3x+2}{4}<22$

(a)

25.

Solve for x
l 4x−3 l = 17

a)

x = 5 and x =-3.5

b)

x = 0 and x = -5

c)

x = 10 and x = -10

d)

No Solution

26.

Solve for x
l x−6 l + 4= 10

a)

x = 12 and x = 0

b)

x = 3 and x = -3

c)

x = -12 and x = 0

d)

No Solution

27.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-5,1}

c)

{-3}

d)

No Solution

28.

Which statement best describes l -4 l?

a)

the distance from -4 to 4 on a number line

b)

the distance from 4 to 0 on a number line

c)

the distance from -4 to 0 on a number line

d)

the distance from 0 to 4 on a number line

29.

Solve.
|c + 4| < 5

a)

x < -9 or x > 1

b)

-9 < x < 1

c)

x < 9 or x > -1

d)

-1 < x < 9

30.

Solve.
|y - 4| ≥ 8

a)

y ≤ -4 or y ≥ 12

b)

-4 ≤ y ≤ -12

c)

y ≤ 4 or y ≥ -12

d)

-12 ≤ x ≤ 4

31.

Find the slope of the line $y\ =\ \frac{2}{5}x-8$

a)

2

b)

5

c)

8

d)

$\frac{2}{5}$

32.

1. Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

33.

5) What is the y-intercept of the line with the equation y = -4x - 12

a)

12

b)

-12

c)

-4

d)

4

34.

6) Find the slope of the line

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

35.

13) Find the slope of the table

a)

-4

b)

1

c)

-2

d)

4

36.

Find the slope (remember: rise over run)

a)

1/3

b)

3

c)

-1/3

d)

-3

37.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

38.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

39.

Which ordered pair represents the Y-Intercept?

y = -2/3x + 2

a)

(0,2)

b)

(2,0)

c)

(0,-2)

d)

(0, -2/3)

40.

Which line has a slope of 5?

a)

y - 2 = 5(x - 2)

b)

3x + 2y = 12

c)

y = 4x + 6

d)

2y = 5x - 7

41.

Which equation is in point-slope form

for the line that contains the point

(5, - 1)?

a)

y - 5 = 1(x + 3)

b)

y + 5 = 2(x - 1)

c)

y - 3 = -1(x + 5)

d)

y + 1 = 2(x - 5)

42.

What point is on the line: y - 5 = 3 ( x + 2 )?

a)

(-5, 2)

b)

(2, -5)

c)

(3, 2)

d)

(-2, 5)

43.

What is A in this equation?

3x - 4y = 16

a)

3

b)

16

c)

4

d)

-4

44.

Which equation is written in STANDARD form?

a)

3x + 2y = 7

b)

4x - 6 = 3y

c)

$\frac{1}{2}x+4=y$

45.

which of the following is the best first step to solve for y = mx +b? equation is -2x - 4y = -12

a)

add 4y to both sides

b)

subtract 2x from both sides

c)

add 2x to both sides

d)

divide by -4

46.

what is the last step to finish solving for y = mx + b for the equation 3y = -5x + 10

a)

divide everything by - 3

b)

subtract 3y from both sides

c)

divide everything by 3

d)

add 3y from both sides

47.

Write the equation in slope-intercept form: 2x + y = 41

a)

x = 2y + 41

b)

y = 2x -41

c)

y = -2x + 41

d)

x = y -39

48.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

49.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

50.

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

51.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y = 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

52.

Which of the relations below is a function?

a)

{(2, 3), (3, 4), (5, 1), (2, 4)}

b)

{(2, 3), (3, 4), (6, 2), (7, 3)}

c)

{(2, 3), ( 3, 4), (6, 2), (3, 3)}

53.

The graph of a relation is shown at the right. Is this relation a function?

a)

Yes

b)

No

c)

Cannot be determined from a graph

54.

Which graph represents a function?

a)

b)

c)

d)

55.

a)

Function

b)

Not a Function

56.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

57.

RANGE is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

58.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

59.

The LNHS Lions stadium seats about 2,000 people. The tickets sell for $6 each. The function f(x) = 6x represents the situation where x is the number of people in attendance and f(x) is the amount of money LNHS makes as revenue.

What is the range of the situation?

a)

0 < f(x) < 6

b)

0 < f(x) < 2,000

c)

0 < f(x) < 12,000

d)

2,000 < f(x) < 12,000

60.

The graph of part of linear function g is shown on the grid below.

Which inequality best represents the

DOMAIN of the part shown below?

a)

$-4\ \le\ x\ <\ 8$

b)

$1\ \le\ x\ <\ 7$

61.

The graph of part of linear function g is shown on the grid below.

Which inequality best represents the

RANGE of the part shown below?

a)

$-1\ <\ x\ \le\ 1$

b)

$0\ \le\ y\ <6$

62.

a)

Domain: {23, 25, 27,28, 30, 31, 35, 36}

Range: {-4, -2, 0, 1, 3, 4, 8, 9}

b)

DOMAIN: all real numbers greater than or

equal to 23 and less than or equal to 36.

RANGE: all real numbers greater than or equal to -4 and less than or equal to 9

63.

The average length of ropes used to install in an internet connection

a)

Discrete

b)

Continuous

64.

The number of daily infection of Covid-19

a)

Discrete

b)

Continuous

65.

You can identify a function from a graph by using the.....

a)

Horizontal Line Test

b)

Eye Test

c)

Vertical Line Test

d)

Diagonal Line Test

66.

Is the function linear or nonlinear?

a)

Linear Function

b)

Nonlinear Function

67.

Evaluate f(-2) if f(x) = x+3

a)

-1

b)

1

c)

5

d)

-5

68.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

69.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

70.

If $f\left(x\right)=16\left(3x-9\right)$ evaluate $f\left(6\right)$

(a)

71.

Evaluate for f(1)

a)

0

b)

-3

c)

3

d)

2

72.

If I know that f(2) = 4, what is another way I can write my answer?

a)

2,4

b)

(2, 4)

c)

That is the only way to write it.

73.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

74.

Find the common difference: 29, 21, 13, 5, ...

a)

d = -10

b)

d = -9

c)

d = -8

d)

d = -7

75.

The first three terms of an arithmetic sequence are as follows

13, 19, 25

What are the next two terms of the sequence?

a)

31 and 37

b)

31 and 36

c)

30 and 37

d)

30 and 36

76.

Sometimes sequences are described in subscript notation.

Given $a_1=-5$ and $a_n=a_{n-1}+3$ , what are the first 4 terms in the sequence?

a)

-5, -2, 1, 4

b)

-5, -8, -11, -14

c)

3, -2, -7, -12

d)

3, -15, 75, -375

77.

Write the EXPLICIT rule for the arithmetic sequence

-10, -3, 4, 11,...

a)

a_n= 10n + 17

b)

a_n = 7n - 17

c)

a_n = -7n + 17

d)

a_n = 7n + 3

78.

Write the explicit rule for the arithmetic sequence
12, 10, 8, 6, ...

a)

a_n = 12n - 14

b)

a_n= 2n - 14

c)

a_n= -2n + 14

d)

a_n= -12n + 14

79.

Write the recursive rule for the arithmetic sequence

82, 76, 70, 64, ...

a)

a₁= 82; a_n = a_n-1- 6

b)

a₁= 64; a_n = a_n-1- 6

c)

a₁= 82; a_n = a_n-1+ 6

d)

a₁= 64; a_n = a_n-1+ 6

80.

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

a)

A

b)

B

c)

C

d)

D

81.

Describe the correlation in the graph shown.

a)

Strong Negative

b)

Strong Positive

c)

Weak Negative

d)

Weak Positive

82.

What type of correlation does this graph have?

a)

Negative

b)

No correlation

c)

Positive correlation

83.

Which scatter plot show a positive relationship?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

84.

Based on the line of best fit for the scatter plot, which of the following amounts is closest to the cost of a 120-minute phone call?

a)

$10

b)

$15

c)

$12

d)

$20

85.

Determine the strength of the relationship for the table if the correlation coefficient is $r=-0.19$ .

a)

Strong Positive Correlation

b)

Weak Positive Correlation

c)

Strong Negative Correlation

d)

Weak Negative Correlation

86.

Describe the following correlation coefficient.

$r=-0.91$

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

87.

What is a line of best fit used for?

a)

To make predictions

b)

To make the graph look pretty

c)

To connect the points

d)

To make it look like you know what you are doing

88.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

89.

Determine the predicted income if 22 hours were worked on an assembly job.

a)

$207.30

b)

$449.60

c)

$691.90

d)

$543.30

90.

This measures how strong or weak the relationship between 2 quantitative variables are.

a)

Scatter Plot

b)

Causation

c)

Correlation

d)

Line of best fit

91.

What does the value, r= -0.89, tell us about the linear relationship of two quantitative variables?

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

92.

What type of Correlation?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

93.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

94.

Shown is a residual plot. How many positive residuals are there?

a)

5

b)

1

c)

3

d)

9

95.

I predicted someone would score a 78% on their test, but they actually scored an 81%. What's the residual?

a)

81 - 78 = 3

b)

78 - 81 = -3

c)

What's residual?

96.

A residual is the vertical distance between a data point and a line of fit.

a)

True

b)

False

97.

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

a)

YES

b)

NO

98.

The graph represents gasoline consumption when driving a certain distance in km. What is the meaning of the slope?

a)

The tank started with 50 L of gasoline

b)

the amount of gasoline consumed per km driven

c)

the distance it takes to lose a Liter of gas

d)

the gasoline is leaking because the slope is negative.

99.

The table represents a used car salesman's monthly salary including commission made on the sale of cars. What is the y-intercept and what does it represent?

a)

The y-intercept is $850/car and it represents the commission per car sold.

b)

The y-intercept is $1500/car and it represents the commission per car sold.

c)

The y-intercept is $1500 and it represents the monthly salary before commission.

d)

The y-intercept is $2775 and it represents the monthly salary before commission.

100.

What does the slope represent in this situation?

a)

The sloth runs 1 feet in 3 minutes

b)

The sloth runs 3 feet in 1 minute

c)

The sloth runs fast

d)

The sloth runs 6 feet in 1 minute

101.

What is the meaning of the y-intercept?

a)

The hamburger will cost $1.90 without any toppings.

b)

The hamburger will cost $1.40 without any toppings.

c)

The cost of the hamburger is $1.90 with one topping

d)

The cost of the hamburger doesn't change no matter how many toppings there are.

102.

What is the solution to this system of equations?
$y=x-2$
$y=-2x+1$

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

103.

Give the solution to the system.

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

No solution

104.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

105.

Solve the system using substitution.

(a)

106.

Coach Besson solved the following system using substitution. Explain his mistake and how to correct it. (If you press ENTER your answer will be submitted)

4 lines

107.

Solve using Elimination Method:

x - y = 11

2x + y = 19

a)

(10,-1)

b)

(-1,10)

c)

(3,-4)

d)

(6,7)

108.

Solve the system by elimination.

−4x − 4y = 0

4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

No Solution

d)

(6, 4)

e)

(0,0)

109.

Solve the system

a)

No solution

b)

infinite solutions

c)

(0,0)

d)

(5,1)

e)

(5,0)

110.

Solve by elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$7x+5y=45$

$3x-5y=-45$

(a)

111.

What type of line is used with the following symbols, < and >?

a)

dashed or dotted

b)

solid

112.

What type of line is used with the following symbols, < and >?

a)

dashed or dotted

b)

solid

113.

The inequality, x < 2, will make what type of line?

a)

dashed, vertical

b)

dashed, horizontal

c)

solid, vertical

d)

solid, horizontal

114.

Which inequality matches the picture shown?

a)

y < -1/2 x + 5

b)

y < -1/2 x + 5

c)

y > -1/2 x + 5

d)

y > -1/2 x + 5

115.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

116.

Choose the correct inequality for this graph.

a)

$y<\frac{3}{2}x+1$

b)

$y\le\frac{3}{2}x+1$

c)

$y<\frac{2}{3}x+1$

d)

$y\le\frac{2}{3}x+1$

117.

Consider the function y < 2x + 3, which of the following is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

The line would be dashed with shading below.

118.

Choose the correct inequality for this graph.

a)

$y>-2$

b)

$y\ge-2$

c)

$x>-2$

d)

$x\ge-2$

119.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

120.

Identify all solutions for the graph

a)

(2, 3)

b)

(4, -2)

c)

(2, -4)

d)

(-2, 0)

121.

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

a)

x+y≤300
7.5x+5.5y≥2000

b)

x+y<300
7.5x+5.5y≥2000

c)

x+y≤300
7.5x+5.5y≤2000

d)

x+y>2000
7.5x+5.5y≤300

122.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

123.

A boy has seven more nickels than quarters. The total value of the coins is $4.90. Which system could be used to find out how many nickels and quarters he has?

a)

b)

c)

d)

124.

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

a)

4y = 3x + 64

8y = x + 68

b)

4y = 3x + 64

8y = x + 60

c)

3x + 4y = 64

x + 8y = 68

d)

3x + 4y = 64

x + 8y = 60

125.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50

Chapters 1-4 Review

Total questions: 125

Worksheet time: 10hrs 25mins

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