Quiz about Keystone – Algebra I Review

Question 1

What is the slope of the line that passes through the points (-6, 1) and (4, -4)?

Accepted Answer

-1/2

Answer

-2

Answer

2

Answer

1/2

Question 2

The faces of a cube are numbered from 1 to 6. If the cube is tossed once, what is the probability that a prime number or a number divisible by 2 is obtained?

Accepted Answer

5/6

Answer

6/6

Answer

4/6

Answer

1/6

Question 3

Which expression is equivalent to $$(3x^2)^3$$ ?

Accepted Answer

$$27x^6$$

Answer

$$9x^5$$

Answer

$$9x^6$$

Answer

$$27x^5$$

Question 4

Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50. What is the cost of one slice of mushroom pizza?

Accepted Answer

$2.00

Answer

$1.50

Answer

$3.00

Answer

$3.50

Question 5

What is half of $$2^6$$ ?

Accepted Answer

$$2^5$$

Answer

$$1^3$$

Answer

$$1^6$$

Answer

$$2^3$$

Question 6

Which equation represents a line that is parallel to the line y = -4x + 5?

Accepted Answer

y = -4x + 3

Answer

y = -1/4x + 5

Answer

y = 1/4x + 3

Answer

y = 4x + 5

Question 7

Pam is playing with red and black marbles. The number of red marbles she has is three more than twice the number of black marbles she has. She has 42 marbles in all. How many red marbles does Pam have?

Accepted Answer

29

Answer

13

Answer

15

Answer

33

Question 8

What is $$\frac{\sqrt[]{32}}{4}$$ expressed in simplest radical form?

Accepted Answer

$$\sqrt[]{2}$$

Answer

$$4\sqrt[]{2}$$

Answer

$$\sqrt[]{8}$$

Answer

$$\frac{\sqrt[]{8}}{2}$$

Question 9

Which equation most closely represents the line of best fit for the scatter plot below?

Accepted Answer

y = x

Answer

y = 2/3x + 1

Answer

y = 3/2x + 4

Answer

y = 3/2x + 1

Question 10

The length of the hypotenuse of a right triangle is 34 inches and the length of one of its legs is 16 inches. What is the length, in inches, of the other leg of this right triangle?

Accepted Answer

30

Answer

16

Answer

18

Answer

25

Question 11

Which equation represents a line parallel to the x-axis?

Accepted Answer

y = 10

Answer

x = 5

Answer

x = (1/3)y

Answer

y = 5x + 17

Question 12

Sam and Odel have been selling frozen pizzas for a class fundraiser. Sam has sold half as many pizzas as Odel. Together they have sold a total of 126 pizzas. How many pizzas did Sam sell?

Accepted Answer

42

Answer

21

Answer

63

Answer

84

Question 13

Which statement is true about the data set 3, 4, 5, 6, 7, 7, 10?

Accepted Answer

Mean = Median

Answer

Mean = Mode

Answer

Mean > Mode

Answer

Mean < Median

Question 14

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle?

Accepted Answer

8

Answer

6

Answer

3

Answer

19

Question 15

Lenny made a cube in technology class. Each edge measured 1.5 cm. What is the volume of the cube in cubic centimeters?

Accepted Answer

3.375

Answer

2.25

Answer

9.0

Answer

13.5

Question 16

The statement 2 + 0 = 2 is an example of the use of which property of real numbers?

Accepted Answer

additive identity

Answer

associative

Answer

additive inverse

Answer

distributive

Question 17

When $$3g^2 - 4g + 2$$ is subtracted from $$7g^2 + 5g - 1$$ , the difference is

Accepted Answer

$$4g^2 + 9g - 3$$

Answer

$$-4g^2 - 9g + 3$$

Answer

$$4g^2 + g + 1$$

Answer

$$10g^2 + g + 1$$

Question 18

Factored completely, the expression $$2x^2 + 10x - 12$$ is equivalent to

Accepted Answer

2(x + 6)(x - 1)

Answer

2(x - 6)(x + 1)

Answer

2(x + 2)(x + 3)

Answer

2(x - 2)(x - 3)

Question 19

What is the product of $$-3x^2y$$ and $$(5xy^2 + xy)$$ ?

Accepted Answer

$$-15x^3y^3 - 3x^3y^2$$

Answer

$$-15x^3y^3 - 3x^3y$$

Answer

$$-15x^2y^2 - 3x^2y$$

Answer

$$-15x^3y^3 + xy$$

Question 20

Is the equation 3(2x - 4) = -18 equivalent to 6x - 12 = -18?

Accepted Answer

Yes, the equations are equivalent by the Distributive Property of Multiplication.

Answer

Yes, the equations are equivalent by the Associative Property of Multiplication.

Answer

Yes, the equations are equivalent by the Commutative Property of Multiplication.

Answer

No, the equations are not equivalent.

Question 21

Which expression is equivalent to $$x^6x^2$$ ?

Accepted Answer

$$x^5 x^3$$

Answer

$$x^4 x^3$$

Answer

$$x^7 x^3$$

Answer

$$x^9 x^3$$

Question 22

Which number does not have a reciprocal?

Accepted Answer

0

Answer

-1

Answer

1/1000

Answer

3

Question 23

What is the multiplicative inverse of 1/2?

Accepted Answer

2

Answer

-2

Answer

-1/2

Answer

1/2

Question 24

The total cost (c) in dollars of renting a sailboat for n days is given by the equation c = 120 + 60n. If the total cost was $360, for how many days was the sailboat rented?

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 25

Solve: 3(x + 5) = 2x + 35

Step 1: 3x + 15 = 2x + 35

Step 2: 5x + 15 = 35

Step 3: 5x = 20

Step 4: x = 4

Which is the first incorrect step in the solution shown above?

Accepted Answer

Step 2

Answer

Step 1

Answer

Step 3

Answer

Step 4

Question 26

A 120-foot-long rope is cut into 3 pieces. The first piece of rope is twice as long as the second piece of rope. The third piece of rope is three times as long as the second piece of rope. What is the length of the longest piece of rope?

Accepted Answer

60 feet

Answer

20 feet

Answer

40 feet

Answer

80 feet

Question 27

The cost to rent a construction crane is $750 per day plus $250 per hour for use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed $2500 per day?

Accepted Answer

7.0

Answer

2.5

Answer

3.7

Answer

13.0

Question 28

The lengths of the sides of a triangle are y, y + 1, and 7 centimeters. If the perimeter is 56 centimeters, what is the value of y?

Accepted Answer

24

Answer

25

Answer

31

Answer

7

Question 29

Which number serves as a counterexample to this statement below?

All positive integers are divisible by 2 or 3.

Accepted Answer

25

Answer

100

Answer

57

Answer

30

Question 30

What is the y-intercept of the graph of 4x + 2y = 12?

Accepted Answer

6

Answer

-4

Answer

-2

Answer

12

Question 31

Which equation best represents the graph below?

Accepted Answer

y = 2x

Answer

y = x

Answer

y = x + 2

Answer

y = 2x + 2

Question 32

What is the equation of the line that has a slope of 4 and passes through the point (3, -10)?

Accepted Answer

y = 4x - 22

Answer

y = 4x + 22

Answer

y = 4x - 43

Answer

y = 4x + 43

Question 33

Which equation represents a line that is parallel to y = -5/4 x + 2?

Accepted Answer

y = -5/4 x + 1

Answer

y = -4/5 x + 2

Answer

y = 5/4 x + 3

Answer

y = 5/4 x + 4

Question 34

What is the solution to this system of equations?

$$y=-3x-2$$

$$6x+2y=-4$$

Accepted Answer

Infinitely many solutions

Answer

(6, 2)

Answer

(1, -5)

Answer

No solution

Question 35

Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters does she have?

Accepted Answer

27

Answer

40

Answer

56

Answer

73

Question 36

$$\frac{5x^3}{10x^7}=$$

Accepted Answer

$$\frac{1}{2x^4}$$

Answer

$$2x^4$$

Answer

$$\frac{1}{5x^4}$$

Answer

$$\frac{x^4}{5}$$

Question 37

$$(4x^2 – 2x + 8) – (x^2 + 3x – 2) =$$

Accepted Answer

$$3x^2 – 5x + 10$$

Answer

$$3x^2 + x + 6$$

Answer

$$3x^2 + x + 10$$

Answer

$$3x^2 – 5x + 6$$

Question 38

The sum of two binomials is $$5x^2 - 6x$$ . If one of the binomials is $$3x^2 - 2x$$ , what is the other binomial?

Accepted Answer

$$2x^2 – 4x$$

Answer

$$2x^2 – 8x$$

Answer

$$8x^2 + 4x$$

Answer

$$8x^2 – 8x$$

Question 39

A volleyball court is shaped like a rectangle. It has a width of x meters and a length of 2x meters. Which of the expressions gives the area of the court in square meters?

Accepted Answer

$$2x^2$$

Answer

3x

Answer

$$3x^2$$

Answer

$$2x^3$$

Question 40

What is the domain of the function shown on the graph below?

Accepted Answer

{1, 2, 4, 5}

Answer

{-1, -2, -3, -4}

Answer

{-1, -2, -4, -5}

Answer

{1, 2, 3, 4}

Question 41

What is the slope of all horizontal lines?

Accepted Answer

0

Answer

undefined

Answer

1

Answer

-1

Question 42

What is the slope parallel to the following equation
$$4x+3y=12$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 43

Which of the following best describes the graph of the system of equations?

y = -2x + 3

5y = -10x + 15

Accepted Answer

Two identical lines

Answer

Two parallel lines

Answer

Two lines intersecting at one point

Answer

Two lines intersecting at two points

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