Elementary Education: Mathematics (7003) Practice Test

Which of the following is an algebraic expression?

6w-4

6x<4

6y=4

6z>4

6w-4

(2/3) ÷ (4/3) + (3/5) × (5/3)↑2

2/9

13/6

23/9

55/18

13/6

Which TWO of the following are statistical questions?

A. What is the daily high temperature for an August day in Cheyenne, Wyoming?

B. How many speeches did George Washington make during his life?

C. How many minutes did Hannah spend talking on her phone on August 28, 2016 ?

D. What was the average number of miles a week run by the members of the Hereford High School cross-country team last month?

What is the daily high temperature for an August day in Cheyenne, Wyoming?

What was the average number of miles a week run by the members of the Hereford High School cross-country team last month?

Which word describes each angle in an equilateral triangle?

Acute

Obtuse

Right

Straight

Acute

Lily, Matthew, Natalie, and Owen each walked from their houses to the mall. Lily walked 1/4 mile, Matthew walked 3/8 mile, Natalie walked 5/6 mile, and Owen walked 7/12 mile.

Which list shows these distances in order from least to greatest?

A.

1/4 , 3/8 , 5/6 , 7/12

B.

1/4 , 3/8 , 7/12 , 5/6

C.

1/4 , 5/6 , 3/8 , 7/12

D.

7/12 , 3/8 , 5/6 , 1/4

1/4 , 3/8 , 7/12 , 5/6

Which of the following inequalities is equivalent to the inequality 4x+4<9x+8 ?

x>-(4/5)

x<-(4/5)

x>-(12/5)

x<-(12/5)

x>-(4/5)

Two friends went out for lunch and decided to share the dessert. One of them ate 1/2 of the dessert, and the other ate 1/3 of the remaining part. What fraction of the dessert was left over?

1/6

1/3

2/3

5/6

1/3

4x(3x+2y)

What does 2y represent in the expression shown?

binomial

factor

coefficient

monomial

Monomial

A unit square is partitioned into identical parts having equal areas. One of the parts is removed from the square, and a shape is formed by the parts that remain after the removal. For which of the following areas of the removed part will the shape that is formed have the greatest area?

1/4

1/5

1/6

1/7

1/7

a = 5000 (1 +r)

The formula shown can be used to find the amount of money in dollars, a, in an account at the end of one year when $5,000 is invested at simple annual interest rate r for the year. Which of the following represents the independent variable in the formula?

a

5,000

r

1 + r

r

The surface area of a cube is 54 square inches. What is the volume of the cube?

27 cubic inches

54 cubic inches

81 cubic inches

108 cubic inches

27 cubic inches

(0 × 10↑4) + (4 × 10↑3) + (0 × 10↑2) + (5 × 10↑1) + (2 × 10↑0)

What number is represented by the base-10 expression shown?

4052

Which of the following expressions ins equivalent to -4(3-2x)?

-2x-12

2x-12

-8x-12

8x-12

8x-12

Carlos makes an annual salary of $65,295. Which of the following is Carlos' salary rounded to the nearest thousand?

$65,000

$65,300

$66,000

$70,000

$65,000

The formula V equals I times RV=IR relates the voltage V, in volts, to the current I, in amperes, and the resistance R, in ohms, in a circuit. What is the current produced by a 9-volt battery in a circuit with 4 ohms of resistance?

1.50 amperes

2.00 amperes

2.25 amperes

2.50 amperes

2.25 amperes

The cost to rent a bus for a field trip is $134.25 per hour, and the duration of the trip is 4 hours and 45 minutes. Which of the following expressions is best for doing a mental calculation to closely estimate the total cost, in dollars, of renting the bus for the trip?

134x5

134x4.75

134.25x4.75

135x5

134x5

0.7 is (1/1000) of what number?

0.0007

0.007

70

700

700

If y=2, what is the value of 4-2(4y)+5y?

-22

-2

22

26

-2

A machine that works at a constant rate processes 18 pounds of fruit every 3 hours. At this rate, how many hours does it take the machine to process 72 pounds of fruit?

4

10

12

15

12

At a flower shop, there are 5 different kinds of flowers: tulips, lilies, daisies, carnations, and roses. There are also 3 different colors of vases to hold the flowers: blue, green, and pink. If one kind of flower and one color of vase to hold them are to be selected at random, what is the probability that the selection will be lilies held in a pink vase?

2/8

2/15

1/8

1/15

1/15

The preceding figures are squares. Each side in Figure 1 has length 7, and Figure 2 has side lengths that are double those in Figure 1.

How do the perimeter and area of Figure 1 compare with the perimeter and area of Figure 2 ?

The perimeter and area of Figure 2 are double the perimeter and area of Figure 1.

The perimeter and area of Figure 2 are four times the perimeter and area of Figure 1.

The perimeter of Figure 2 is double the perimeter of Figure 1, and the area of Figure 2 is four times the area of Figure 1.

The perimeter of Figure 2 is four times the perimeter of Figure 1, and the area of Figure 2 is eight times the area of Figure 1.

The perimeter of Figure 2 is double the perimeter of Figure 1, and the area of Figure 2 is four times the area of Figure 1.

If r is a real number, which of the following illustrates the commutative property of multiplication?

(32)(r)=(3)(2r)

(32)(r)=(r)(32)

(32)(r)=(30)(r)+(2)(r)

(32)(r)=(32)(r)(1)

(32)(r)=(r)(32)

3 less than 4 times the sum of the number x and 15

Which of the following expressions best represents the preceding verbal phrase?

4x+15-3

3-4x+15

4(x+15)-3

3-4(x+15)

4(x+15)-3

1 tablespoon equals= 1/16 cup

1 teaspoon equals= 1/3 tablespoon

1 fluid ounce equals= 2 tablespoons

Each of the preceding conversions shows equivalent measurements. Based on the equivalent measurements, which of the following quantities is greatest?

12 tablespoons

7/8 cup

8 fluid ounces

45 teaspoons

8 fluid ounces

What is the least common multiple of 12, 20, and 30 ?

2

60

240

360

60

What value does the 8 represent in the number 5,836,303 ?

Eight hundred

Eight thousand

Eighty thousand

Eight hundred thousand

Eight hundred thousand

(2x+5x-2)−(x+y-3y-5x+2)

Which of the following is equivalent to the preceding expression?

11x+2y-4

3x-2y-4

11x-2y

x-2y

11x+2y-4

What is the prime factorization of 3,780 ?

2x5x6x7x9

3x4x5x7x9

2x3x6x7x15

2x2x3x3x3x5x7

2x2x3x3x3x5x7

Which phrase describes the solution set to the inequality 18b - 5 < 20b +11

All numbers that are less than -8

All numbers that are greater than -8

All numbers that are less than 8

All numbers that are greater than 8

All numbers that are greater than -8

In a bag there are 28 candies, of which 17 are peppermints and the rest are caramel chews. What is the ratio of the number of caramel chews to the number of peppermints in the bag?

11 to 17

17 to 11

17 to 28

28 to 17

11 to 17

A window's size is 8 feet by 4 feet. Which of the following units is most appropriate to use to convert the dimensions to metric units?

Kilometers

Meters

Millimeters

Nanometers

Meters

All workers in profession X earn more than all workers in profession Y.

Exactly 50% of workers in profession X earn more than all workers in profession Y.

The range of incomes for workers in profession X is the same as that for workers in profession Y.

The median income for workers in profession X is greater than the maximum income for workers in profession Y.

The median income for workers in profession X is greater than the maximum income for workers in profession Y.

J

K

L

M

K

The cost of a membership to Gym G is greater than the cost of a membership to Gym H for membership lengths of 6 months or less but is greater for membership lengths of greater than 6 months.

The cost of a membership to Gym H includes the same initial membership fee as the cost of a membership to Gym G but a greater monthly fee.

The cost of a membership to Gym H includes a greater initial membership fee than the cost of a membership to Gym G but a lower monthly fee.

The cost of a membership to Gym G is greater than the cost of a membership to Gym H for any number of months.

The cost of a membership to Gym G is greater than the cost of a membership to Gym H for any number of months.

Figure 4

The preceding figure is a net for which of the following three-dimensional figures?

Cube

Triangular prism

Rectangular prism

Triangular pyramid

Triangular prism

12

19

31

38

19

A boxplot for a set of data is shown in the preceding figure. Which of the following is true?

The only outlier is 200.

The only outlier is 1,000.

The only outliers are 200, 700, and 1,000.

All values greater than 500 or less than 300 are outliers.

The only outlier is 1,000.

Line q and line r

Line r and line s

Line s and line t

Line t and line q

Line s and line t