Review Day 2

GCF/LCM

100

What is the meaning of 'the greatest common factor' (GCF)?

The GCF is the largest number that two or more numbers can be divided by, without leaving a remainder.

200

What is the meaning of 'the least common multiple' (LCM)?

The LCM is the smallest number that is a multiple of two or more numbers.

300

What is the greatest common factor (GCF) of 12 and 18?

6

400

Find the LCM of 6 and 8.

24

500

Find the greatest common factor (GCF) and the least common multiple (LCM) of 4 and 10.

• The GCF of 4 and 10 is 2.
• The LCM of 4 and 10 is 20.

Properties of Operations

100

8+3=3+8

What property is this showing?

The commutative property of addition.

200

The ________________ states that the way numbers are grouped, does not change the sum or product.

The associative property

300

What is the identity property?

Any number added to 0 remains the same and any number multiplied by 1 remains the same.

(ex. 1+0 = 1 and 1(1) =1)

400

Use the distributive property to find the value of 

4(3 + 5).

32

500

For which two operations do the commutative, associative, and identity properties hold true?

Addition and multiplication

Substitution & Inequalities

100

When do we use substitution?

We use substitution when we need to replace a variable in an expression or equation with a given value to find a solution.

200

If x = 3, what is the value of 2x + 4?

2(3) + 4 = 6 + 4 = 10

300

What do the following symbols for inequalities mean?

• >
• <
• ≥
• ≤
• ≠

• > means "greater than."
• < means "less than."
• ≥ means "greater than or equal to."
• ≤ means "less than or equal to."
• ≠ means "not equal to."

400

What is a value for x that would make this true?

4x > 12.

x can equal anything greater than 3

500

If a = 6 and b = 2, what is the value of the expression a² - 3b?

Is this greater than, less than, or equal to 20?

The value of 6²-3(2) = 30. 30 is greater than 20.

One-Step Equations

100

What is an inverse operation? Give one example.

An inverse operation is an operation that undoes the effect of another operation. 

Examples: addition/subtraction and multiplication/division

200

Solve the one-step equation: x + 5 = 12. What is the value of x?

x=7

300

Solve the one-step equation: 3x = 15. What is the value of x?

x=5

400

Solve the one-step equation: x/4 = 2. What is the value of x?

x=8

500

Solve the equation: 2x - 3 = 11. What is the value of x?

x=7

Ratios

100

What is a ratio?

A ratio is a comparison of two numbers or quantities.

200

What are the three ways to write/represent a ratio?

1. colon notation

2. fraction notation

3. word form

300

If there are 9 pieces of fruit, 4 apples and 5 oranges, what is the ratio of apples to oranges?

4:5, 4/5, "4 to 5"

400

How do we find equivalent ratios?

Multiply or divide both terms of the ratio by the same number.

500

What is an equivalent ratio to 12:16?

(division) 6:8, 3:4...

(multiplication) 24:32...