Quiz about Keystone Algebra 1 Review

Question 1

Mike's goal is to run at least 400 miles. To date, he has run 125 miles. He runs 5 miles per day. The inequality below represents how many more days Mike will need to run to achieve his goal.

$$125\ +\ 5x\le400$$

Which statement best describes what he needs to achieve his goal?

Accepted Answer

He needs to run 55 or less than 55 days.

Answer

He needs to run 125 days.

Answer

He needs to run 55 or more days.

Answer

He needs to run more than 55 days.

Question 2

What is the value of $$\left|x+3\right|+x^3$$ when x = -4

Accepted Answer

-63

Answer

-65

Answer

-57

Answer

-11

Question 3

Three monomials are shown below.

$$7x^2y$$ $$14xy^2$$ $$14x^2y$$

Which is the least common multiple (LCM) of all three monomials?

Accepted Answer

$$14x^2y^2$$

Answer

$$28^2y^2$$

Answer

$$28xy^2$$

Answer

$$7x^2y^2$$

Question 4

Jason is solving the equation shown below.

$$3x+\left(-8x+9\right)=29$$

This was his first step: $$\left(3x-8x\right)+9=28$$

Which property did Jason use for the first step?

Accepted Answer

Commutative Property

Answer

Distributive Property

Answer

Associative Property

Answer

Additive Inverse Property

Question 5

A compound inequality is shown below.

$$-12<-2y+8<32$$

What is the solution of the compound inequality?

Accepted Answer

$$-12<y<10$$

Answer

$$-10<y<12$$

Answer

$$-12>y>10$$

Answer

$$12>y\ \ or\ y<-10$$

Question 6

Michael rented a car for one day at a daily rate of $42. He also had to pay $0.55 per mile driven, but there were no other fees. If Michael return the car at the end of day and paid $114.60, how many miles did he drive?

Accepted Answer

132

Answer

128

Answer

136

Answer

140

Question 7

Compare the real numbers shown below.

$$\sqrt[]{64\ }\ \ \ \frac{124}{12}\ \ \ \ 10.25\ \ \ \ \ -213$$

Which is the greatest value?

Accepted Answer

$$\frac{124}{12}$$

Answer

$$\sqrt[]{64}$$

Answer

$$10.25$$

Answer

$$-213$$

Question 8

A polynomial expression is shown below.

$$\left(8x^2+2\right)\left(3x^2+6\right)-\left(9x^3-4x^2+3\right)$$

Once the polynomial is simplified, what will be the coefficient of the $$x^2$$ term?

Accepted Answer

58

Answer

15

Answer

28

Answer

62

Question 9

Kelsey bought x shirts and y pants. She spent a total of $120. The equation below shows the relationship between the number of shirts and the number of pants purchased.

$$15x+30y=120$$

The ordered pair (4,2) is the solution to the equation. What does the solution represent?

Accepted Answer

Kelsey bought 4 shirts and 2 pairs of pants.

Answer

Kelsey bought 4 pairs of pants and 2 shirts

Answer

Kelsey bought 15 shirts and 30 pairs of pants.

Answer

Kelsey paid $4 for a shirt and $2 for a pair of pants.

Question 10

Which expression is the simplified form of $$\sqrt[]{48}$$

Accepted Answer

$$4\ \sqrt[]{3}$$

Answer

$$6\ \sqrt[]{8}$$

Answer

$$2\ \sqrt[]{24}$$

Answer

$$3\ \sqrt[]{6}$$

Question 11

Three monomials are shown below.

$$25a^2bx\ \ \ 15b^2cx^{3\ }\ \ \ \ 30ab^3cx^2$$

What is the greatest common factor (GCF) of all three monomials?

Accepted Answer

$$5bx$$

Answer

$$5ab^2x^3$$

Answer

$$15abcx$$

Answer

$$30a^2b^3cx^3$$

Question 12

What is the value of $$2m\ +\ 5n^2\ $$ when m = -18 and n = 11?

Accepted Answer

569

Answer

19

Answer

91

Answer

641

Question 13

Paul has 100 coins in a jar, and they are all dimes or nickels. Their total is $8.10. The system below represents this situation.

d + n = 100

0.1d + 0.05 n = 8.10

How many dimes, d, does Paul have in his jar?

Accepted Answer

62

Answer

38

Answer

40

Answer

60

Question 14

To fix a broken pipe, a plumber charges a service fee of $45 and an hourly rate (h) of $30. The total charges (c) can be represented by the equation $$c=45+30h$$ . Which statement is true?

Accepted Answer

If the plumber charged $105, it took him 2 hours to fix the pipe.

Answer

If it takes the plumber 3 hours to fix the pipe it would cost $78.

Answer

The total cost for fixing the pipe is $75.

Answer

If it takes the plumber 3 hours to fix the pipe, it would cost $165.

Question 15

Which graph represents a function?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 16

Thirty ninth graders responded to a survey about how many hours they spend on the computer for one week. The results are shown in the box-and-whisker plot.

What is the interquartile range of the results shown?

Accepted Answer

18

Answer

7

Answer

11

Answer

30

Question 17

Which relation is not a function?

Accepted Answer

(5,1), (10,2), (15,3), (15,4)

Answer

(2,3), (4,5), (6,7), (8,9)

Answer

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

Answer

(2,5), (3,9), (4,12), (5,15)

Question 18

A theme park opened at 8:00 am. During the first hour, the number of tickets sold is recorded in five minute intervals.

Which is the best estimate for the number of tickets sold around 9:10 am based on the line of best fit?

Accepted Answer

5

Answer

15

Answer

25

Answer

30

Question 19

Parker's pizza sells basic cheese pizza for $6.00. The total amount charted for a pizza (p) is based on the cost for a cheese pizza plus an additional charge that depends on the number of toppings (t). This can be represented by $$p=1.25t+6$$ . What does the number 1.25 mean in the equation?

Accepted Answer

The cost of each topping

Answer

The cost of all the toppings

Answer

The cost of pizza with 6 toppings

Answer

The cost of each pizza with 1 topping

Question 20

A line has a slope of -2 and goes through the point (-4,5). Which equation represents this line?

Accepted Answer

y = -2x - 3

Answer

y = -2x - 4

Answer

y = -2x + 5

Answer

y = -2x + 1

Question 21

Joe's Sandwich Shop recorded the number of customers who ate lunch there each day for 20 days.

The range of the data is 29. What number of customers is represented by the question mark in the stem-and-leaf plot?

Accepted Answer

79

Answer

21

Answer

76

Answer

78

Question 22

Mrs. Jackson summarized the quiz scores for the last science quiz on the box and whisker plot. Twenty students took the quiz.

Which statement is true about the science quiz scores?

Accepted Answer

Ten students scored between 60 and 90.

Answer

About 75% of the students scored between 60 and 90 on the quiz.

Answer

25% of the students scored over 60.

Answer

More than 5 students scored higher than 90 on the quiz.

Question 23

A function is shown in the table.

Which equation represents this function?

Accepted Answer

y = 19x - 12

Answer

y = 5x - 7

Answer

y = 18x -2

Answer

y = 20x - 32

Question 24

Chen is listening to songs on his music player. He has 2 hip-hop, 3 grunge, 1 classic rock and 2 alternative songs. In shuffle mode, each song is randomly chosen from all 9 songs on the playlist. The songs can be played more than once. What is the probability that Chen will hear a hip-hop song followed by a classic rock song?

Accepted Answer

$$\frac{3}{8}$$

Answer

$$\frac{1}{8}$$

Answer

$$\frac{1}{32}$$

Answer

$$\frac{1}{64}$$

Question 25

Consider the following equation.

$$y=4-\frac{x}{2}$$

What is the slope of the line?

Accepted Answer

$$-\frac{1}{2}$$

Answer

-2

Answer

$$\frac{1}{2}$$

Answer

2

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