Equations Quest

Write & Solve Equations
Quest

​Equations

I can write and solve one-variable equations!

Solving 1-Step Equations

One-Step Equations

These are equations you can solve in one step by doing the OPPOSITE, or INVERSE, operation.

One-Step Equations

These are equations you can solve in one step by doing the OPPOSITE, or INVERSE, operation.

Match

Match each equation with the inverse operation that would be used to solve it:

• 6n = 12

• 6/n = 22

• 6 + n = 100

• n - 6 = 45

• $$\frac{n}{6}=18$$

Divide by 6

Multiply by n

Subtract 6

Add 6

Multiply by 6

• Divide by 6

• Multiply by n

• Subtract 6

• Add 6

• Multiply by 6

Multiple Choice

Solve the equation

z - 10 = 20

• z=30

• z=10

• z=2

• z=200

• z=-10

Fill in the Blanks

Multiple Choice

q - 12 = 1

• q=12

• q=11

• q=1

• q=13

• q=6

Multiple Choice

Ted bought lunch for $12. He now has $5. Which choice best models this situation?

• m - 12 = 5
• m - 5 = 12
• m + 5 = 12
• m + 12 = 5

Multiple Choice

Which choice models this situation?
Ria had some video games, then bought 4 more.  Now she has a total of 10 games.

• v - 4 = 10
• v + 4 = 10
• 10/4 = v
• 4v = 10

Multiple Choice

5.  After dropping by 5ºF, the temperature was 37ºF.  Which choice models this situation?

• t - 37 = 5

• t + 5 = 37

• t - 5 = 37

• t + 37 = 5

Multiple Choice

Which set of algebra tiles represents the equation x+2=10?

Multiple Choice

Which equation does this set of algebra tiles represent?

• x+8=14

• x+9=14

• x+9=22

• x+8=22

Multiple Choice

Which model represents this equation?

Multiple Choice

Which model represents X + 6 = 2 ?

Multiple Choice

What is a solution of an equation?

• A method to solve the equation.
• A graphical representation of the equation.
• Any fraction or decimal.

• A value that is always positive.

• A value that satisfies the equation, making it true.

Multiple Choice

Which of the following is a solution of the equation?

15 + k = 20

• k = 35

• k = 5

• k = 300

• k = 0.75

• k = 20

Multiple Choice

Which of the following is a solution of the equation?

8m - 10 = 30

• m = 10

• m = 40

• m = 2

• m = 5

• m = 20

Key Words

• Addition: add, sum, plus, more, make

• Subtraction: take away, less, decrease, minus, difference

• Multiplication: each, times, group of, multiply, product

• Division: divided, share, equal groups, quotient

• Equals: makes, total, same as, equivalent

Real-World

• You can write equations to help you solve real-world problems.

• When writing an equation from a real life situation it is important to identify the variable.

• Ex: 10 is greater than some number by 5.

• Variable: an unknown value

Multiple Choice

Bill scored 13 points in a basketball game. The rest of his team scored p points. The total points for Bill's team was 44 points. What is the variable?

• The number of teams

• The number of points Bill scored

• The total number of points

• The number of basketballs

• The number of points his teammates scored

Multiple Choice

Bill scored 13 points in a basketball game. His teammates scored p points. The total points for Bill's team was 44 points. Write an equation for this situation.

• 44 + 13 = x

• 13 + x = 44

• 44 + x = 13

Multiple Choice

n - 5 = 13

What is the first step when solving this equation using inverse operations?

• Subtract 5 from both sides

• Add 5 to both sides

• Divide both sides by 5

• Multiply both sides by 5

Multiple Choice

How would you solve:

32 + x = 60

• Subtract 32 from both sides

• Add x to both sides

• Add x both sides, then -60

• Add 32 to 60

Multiple Choice

The next step in this equation:

m + 18 = 24

• Add 24 to 18

• -6 from both sides

• Erase the m

• -18 from both sides

• Add 28 to both sides

Multiple Choice

n + 4 = 24

To solve for n, you would

• add 4 to both sides

• take n away

• subtract 4 from each side

• add 20

Multiple Choice

25 = 15 + n

Which of these would be the best way to solve this equation in one step?

• -15 from both sides

• -n from both sides

• add 15 to both sides

• +n to both sides, then -15

Multiple Choice

25 = 15 + n

What is the value of n?

• -10

• 10

• 25

• -15

• 15

Fill in the Blanks

Multiple Choice

When x = 6 in the equation
3x = 18
3(6) = 18
18= 18
TRUE OR FALSE?

• TRUE
• FALSE

Multiple Choice

When x = 22 in the equation
44 ÷ x = 11
44 ÷ (22) = 11
2 = 11
TRUE OR FALSE?

• TRUE
• FALSE

Match

Match each equation with its solution:

• n+19=129

• 5n=35

• 15n=60

• 8n=88

• 60/n=12

n=110

n=7

n=4

n=11

n=5

• n=110

• n=7

• n=4

• n=11

• n=5

Poll

How confident are you right now with writing and solving one-variable equations?

• Not Confident at All

• Slightly Confident

• Somewhat Confident

• Confident

• Highly Confident

Multiple Choice

When x = 16 in the equation
2x - 4 = 32
2(16) - 4 = 32

32 - 4 = 32
IS IT TRUE OR FALSE?

• TRUE
• FALSE

Multiple Choice

Which part of the equation is a variable?
81  ÷  n = 9

• 9
• n
• 81
• =

Multiple Choice

Which one of the following is an equation? 

• 8x + 18
• 5y
• 2x + 16 = 43
• 24 ÷ b
• 8m²

Multiple Choice

Which one of the following is an expression? 

• 7x + 15 = 71
• 4x = y
• 81 - b = 14
• 7 + n

Multiple Choice

When x = 4 in the equation
2x + 3 = x + 7
2(4) + 3 = (4) + 7
IS IT TRUE OR FALSE?

• TRUE
• FALSE

Multiple Choice

When x = 3 in the equation
a² = 25
(3)² = 25
IS IT TRUE OR FALSE?

• TRUE
• FALSE

Video Response

Summarize what you have learned this year about how to write and solve one-variable equations:

Open Video Recorder