Algebra Review and Practice SOL 6.13

Algebra Review and Practice

Mrs. Haley and Mrs. Nester

SOL 6.13

2020-2021

Multiplying One-Step Equations

Always do the INVERSE OPERATION to each side of the equation to solve.

Multiple Choice

What is the coefficient in 10m=30 ?

• 10

• m

• =

• 30

Multiple Choice

The inverse of multiplication is....

• addition

• subtraction

• multiplication

• division

Solving multiplication equations:

Divide on BOTH sides of the equation. Get the variable by itself (isolated).

Multiple Choice

Solve: 6x=18

• x=3

• x=2

• x=24

• x=9

Multiple Choice

Solve: 8b = 48

• b=5

• b=6

• b=7

• b=8

Multiple Choice

Solve: 25= -5w

• 5

• -5

• 20

• -20

Modeling Multiplication Equations

Look at the multiplication model in the picture. There are 2 purple triangles so there are 2 variables. We write that with a coefficient to show multiplication. 2x=8

Multiple Choice

What equation is modeled in the picture?

• 2 + x = 8

• 2x = 8

• 2 - x = 8

• 2/x= 8

Multiple Choice

What equation is modeled in the picture?

• 3x = 6

• 3 + x = 6

• 3 - x = 6

• 3/x=6

Multiple Choice

What is the equation modeled?

• 4 + x = 12

• 4x = 12

• -4x = 12

• 4 - x = 12

Translating Equations and Expressions

Some key words for multiplication:

Product

Multiply

Multiplied by

Of

Translate this equation:

• 2x=8

• Two times x equals 8

• The product of 2 and x is 8

• 2 multiplied by x is 8

Multiple Choice

Which equation matches: 7w=21

• the quotient of 7 and w is 21

• the sum of 7 and w is 21

• the product of 7 and w is 21

• the difference between 7 and w is 21

Multiple Choice

Which matches "the product of 9 and y is 81"?

• 9 - y = 81

• 9 + y = 81

• 9y = 81

• 9/y=81

Multiple Choice

Which is 10m=40

• the product of 10 and m is 40

• the quotient of 10 and m is 40

• the sum of 10 and m is 40

• the difference between 10 and m is 40

Division One-Step Equations

• To solve division equations you must use the inverse operation on BOTH sides of the equation

• The inverse of division is multiplication

Multiple Choice

The inverse of division is...

• addition

• subtraction

• multiplication

• division

Division Key Words

• quotient

• divided by

• equal groups

Multiple Choice

Which of the following translations matches this equation:

 $\frac{w}{4}=3$  

• the product of w and 4 is 3

• the quotient of w and 4 is 3

• the sum of w and 4 is 3

• the difference between w and 4 is 3

Multiple Choice

Which equation matches: "a number m divided by -9"

• $-9m$

• $m\ +\ \left(-9\right)$

• $m\ -\ \left(-9\right)$

• $\frac{m}{-9}$

Multiple Choice

Which is "the quotient of w and 2 is 17"?

• $\frac{w}{2}=17$

• $2w\ =\ 17$

• $w\ +\ 2\ =\ 17$

• w - 2 = 17