Solving Equations Review

Solving Equations Review

By Michelle Dunham

Solving Equations Assessment

​Wednesday, March 16

• Inverse Operations

• Substitution

• Solving Equations

• ​Equations Word Problems

• Two-Step Equations

Algebra is fun!!!!!​

We use inverse operations to solve equations. We must isolate the variable by "doing the opposite". ​

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​Inverse Operations

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Multiple Choice

What operation is the inverse of subtraction?

• division

• addition

• multiplication

• exponents

Multiple Choice

What operation would you use to solve the equation: $$\frac{p}{100}=2$$  

• division

• multiplication

• exponents

• subtraction

When we use substitution to ​find the value of an expression, we are given the value of the variable. We replace the variable with the number we have been given and solve the problem.

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​ Substitution​

Multiple Choice

Substitute the given number into the expression to find the value of the expression:

n + 5 when n = 7

• 2

• 35

• -2

• 12

Multiple Choice

Substitute the given number into the expression to find the value of the expression:

20 - 3n when n = 2

• -12

• 12

• 14

• 6

Multiple Choice

Substitute the given number into the expression to find the value of the expression:

$$\frac{\left(n+3\right)}{2}$$   when n = 13

• 8

• 29

• 16

• 32

​ Solving Equations

Multiple Choice

Solve the equation:

w - 14 = 6

• w = 8

• w = 20

• w = 2 1/2

• w = -8

Multiple Choice

Solve the equation: $$\frac{n}{7}=7$$  

• n = 1

• n = 14

• n = 49

• n = 42

Multiple Choice

Solve the equation:

3b = 18

• b = 6

• b = 21

• 54

• b = 15

Algebraic Rules

To describe a pattern using an algebraic rule, choose variables to represent the term number and the number in the pattern.

​Here, we will use x for the term number and y for the number in the pattern. Since we multiply the term number by two to get the number in the pattern, the rule is 2x = y.

Multiple Choice

The table shows how much money (A) Bev has saved each month (m). Which algebraic rule represents the situation:

• m = 12A

• A = 12m

• A = m + 12

• m = A + 1

Multiple Choice

The table represents the amount of chocolate chips in grams (g) needed to bake a batch of cookies (b). Which algebraic rule represents the situation:

• g = 75b

• g = b + 75

• b = g/4

• b = g/2

​Two-Step

Equations Example

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​Solving Two-Step Equations

1. First, add or subtract both sides of the equation by the same number.

2. Second, multiply or divide both sides of the equation by the same number.

Multiple Choice

Solve the equation: 2x + 10 = 16

• x = 42

• x = 3

• x = 4

• x = 18

Multiple Choice

Solve the equation: $$\frac{h}{11}-\ 5\ =\ 2$$  

• h = 17

• h = 77

• h = 10.5

• h = 55

The test is Wednesday! Good luck!

Ms. Dunham​

Don't forget to study!!!