Quiz about Rational Number Operations and Expressions Quiz

Question 1

Which expression is best represented by the number line model?

Accepted Answer

$$-2\cdot4$$

Answer

$$-8\div2$$

Answer

$$-2\cdot-4$$

Answer

$$-8\div-4$$

Question 2

Simplify the expression below.

$$\left(-5\cdot-4\right)\div\left(-3+5\right)$$

Accepted Answer

$$10$$

Answer

$$6$$

Answer

$$-8$$

Answer

$$-10$$

Question 3

Mrs. Barker displays a math problem on the white board. Which of the following expressions is also equal to the problem on the white board?

$$\frac{3}{4}\div\frac{5}{8}$$

Accepted Answer

$$\frac{3}{4}\cdot\frac{8}{5}$$

Answer

$$\frac{3}{4}\cdot\frac{5}{8}$$

Answer

$$\frac{4}{3}\cdot\frac{5}{8}$$

Answer

$$\frac{4}{3}\cdot\frac{8}{5}$$

Question 4

The weather report shows the 5 day forecast in St. Paul, Minnesota. What is the sum of the various temperatures over the period of five days?

Accepted Answer

-2

Answer

-4

Answer

2

Answer

-3

Question 5

Jeremy is packaging a stew into to-go containers. There are $$8\frac{3}{4}$$ cups of stew that need to be put into 5 to-go containers equally. How many cups of stew will be in each container?

Accepted Answer

$$1\frac{3}{4}$$

Answer

$$1\frac{1}{4}$$

Answer

$$1\frac{2}{3}$$

Answer

$$2\frac{1}{3}$$

Question 6

A card game requires that you have a sum of 5 in order to win. Based on the cards shown will Cameron win the game?

Accepted Answer

No, because he has a sum of 0.

Answer

Yes, because he has a sum of 7.

Answer

No, because he has a sum of -16.

Answer

No, because he has a sum of 2.

Question 7

Which diagram correctly depicts the expression below?

-5 - 2

Accepted Answer

Question 8

Mrs. Kenny teaches a ceramics class. She finds that she has $$\frac{7}{8}$$ of a pound of clay for a project. The project requires $$\frac{1}{6}$$ of a pound. How many projects can Mrs. Kenny complete without running out of clay?

Accepted Answer

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

Answer

6

Answer

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

Answer

7

Question 9

Which expression is equivalent to 4(2x +3)?

Accepted Answer

8x + 12

Answer

4 + 2x + 4 +3

Answer

3x + 10

Answer

3x - 2

Question 10

Amanda simplifies the expression $$14-8\div2+3\cdot4$$ and shows her work below. What mistake did Amanda make that resulted in an incorrect answer?

Accepted Answer

She added before multiplying.

Answer

She subtracted before adding.

Answer

She multiplied before dividing.

Answer

She added before dividing.

Question 11

Which of the following expressions is best represented by the model below?

Accepted Answer

3x + 6

Answer

3x + 10

Answer

3x - 2

Answer

3x + 8

Question 12

Four students write algebraic expressions and equations on their white board. Which of the students wrote expressions?

Accepted Answer

Students 1 and 4

Answer

Students 2 and 3

Answer

Students 1, 3, and 4

Answer

Students 2 and 4

Question 13

Which two expressions are equivalent?

Accepted Answer

$$4+2+x$$

$$\left(4+2\right)+x$$

Answer

$$4\left(2+x\right)$$

$$4\cdot2+2\cdot x$$

Answer

$$4\cdot x+2$$

$$4\cdot\left(x+2\right)$$

Answer

$$4\div\left(2-x\right)$$

$$4-2\div x$$

Question 14

Which of the set of expressions is equivalent?

Accepted Answer

2(3x+5) and 6x+10

Answer

3(2x+5) and 6x+5

Answer

2(3x+5) and 6x+15

Answer

3(2x+5) and 6x+10

Question 15

Sara and her friends go to a football game and get snacks from the concessions. She uses various pictures to show what they ordered. Which of the following expressions best represents their order?

Accepted Answer

4d + h + 2f

Answer

4d + 2h + 2f

Answer

h + 2f+5d

Answer

2h + 4f + 3d

Question 16

Which of the following cannot be written as an expression?

Accepted Answer

five times a number is 30

Answer

six times a number less nine

Answer

eight times the quotient of 6 and 3

Answer

the difference between a number and 12

Question 17

What is the prime factorization of 140?

Accepted Answer

$$2^2\cdot5\cdot7$$

Answer

$$2^2\cdot3\cdot7$$

Answer

$$2^3\cdot7$$

Answer

$$4\cdot5\cdot7$$

Question 18

Which of the following rational numbers can be multiplied by two and result in a number greater than two?

Accepted Answer

$$\frac{9}{8}$$

Answer

$$\frac{5}{6}$$

Answer

$$\frac{8}{9}$$

Answer

$$\frac{11}{12}$$

Question 19

Which expression is equivalent to $$\frac{11+5}{2}$$

Accepted Answer

$$\left(11+5\right)\div2$$

Answer

$$11+5\div2$$

Answer

$$11\div2+5$$

Answer

$$5\div2+11$$

Question 20

Tom writes the expression $$p\ +\ 8\cdot\frac{1}{2}$$ . Which expression is equivalent to the one Tom wrote down?

Accepted Answer

$$\left(8\cdot1\div2\right)+p$$

Answer

$$8+p\cdot1\div2$$

Answer

$$\left(p+8\right)\left(1\div2\right)$$

Answer

None of these

Rational Number Operations and Expressions Quiz

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