Test #2 Study

Question 1

What is a tape diagram?

Answer 1

A representation used to model relationships between quantities.

Question 2

True or False: Tape diagrams can only represent whole numbers.

Answer 2

False

Question 3

Fill in the blank: A one-step equation can be solved in _____ step(s).

Answer 3

one

Question 4

What is the purpose of a tape diagram in solving equations?

Answer 4

To represent the problem and to find the solution.

Question 5

What does the variable ‘x’ typically represent in an equation?

Answer 5

An unknown value that we need to solve for.

Question 6

Convert the word phrase ‘three times a number’ into an algebraic expression.

Answer 6

3x

Question 7

What is the solution to the one-step equation x + 5 = 12?

Answer 7

x = 7

Question 8

True or False: Decimals can be used in tape diagrams.

Answer 8

True

Question 9

Fill in the blank: In the equation x - 3 = 10, the first step to solve for x is to _____ 3.

Answer 9

add

Question 10

What does the term ‘expression’ mean in algebra?

Answer 10

A mathematical phrase that can contain numbers, variables, and operations.

Question 11

Convert the word phrase ‘the sum of a number and 4’ into an algebraic expression.

Answer 11

x + 4

Question 12

What is the solution to the equation 2x = 16?

Answer 12

x = 8

Question 13

True or False: An equation always contains an equal sign.

Answer 13

True

Question 14

What is the first step to solve the equation 5x = 25?

Answer 14

Divide both sides by 5.

Question 15

Convert the word phrase ‘twice a number decreased by 3’ into an algebraic expression.

Answer 15

2x - 3

Question 16

What does ‘whole numbers’ refer to?

Answer 16

Non-negative integers, including zero.

Question 17

Fill in the blank: In the equation x/4 = 3, to find x you would _____ both sides by 4.

Answer 17

multiply

Question 18

What is a key feature of a tape diagram?

Answer 18

It uses rectangles to represent quantities and their relationships.

Question 19

What is the solution to the equation x - 6 = 2?

Answer 19

x = 8

Question 20

True or False: You can represent fractions in tape diagrams.

Answer 20

True

Question 21

Convert the word phrase ‘the product of 7 and a number’ into an algebraic expression.

Answer 21

7x

Question 22

What does ‘decimals’ refer to?

Answer 22

Numbers that contain a decimal point, representing values between whole numbers.

Question 23

What is the solution to the equation 3x + 4 = 16?

Answer 23

x = 4

Question 24

Fill in the blank: When solving x + 10 = 20, you would _____ 10 from both sides.

Answer 24

subtract

Question 25

True or False: A tape diagram can help in understanding ratios.

Answer 25

True

Question 26

What is the purpose of using variables in algebra?

Answer 26

To represent unknown quantities in equations and expressions.

Question 27

Convert the phrase 'the difference between a number and 5' into an algebraic expression.

Answer 27

x - 5

Question 28

What is the solution to the equation x/3 = 9?

Answer 28

x = 27