Review: Linear Equations

Simplifying equations

100

The simplified version of:

4a+1+3a

What is 7a+1 ?

200

The simplified version of:

-2x-7x-6

What is -9x-6 ?

300

The simplified version of:

-5p - 8(p - 9) 

What is -13p + 72 ?

400

The simplified version of:

9(3 - 5x) - 2

What is 25 - 45x ?

500

Simplify and solve the equation:

4(x - 4) + 2x = -20

What is x = -2/3 ?

Solving Multi-Step Equations

100

4p - 7 = 5

What is p = 3

200

6 = 4v +2

What is v = 1

300

-5c+2+c-9=20+14

What is c = -10.25

400

(y/3) + 6=-45

What is y = -153

500

Nick drinks his 16 oz Monster at a constant rate. After drinking for 3 minutes, there are 7 oz left in the can. 

Write an equation for z, the ounces left in the can, after t minutes.

What is z = 16 - 3t 

OR z = -3t + 16

Solving Equations with (Variables on Each Side)

100

n-2=4 - 2n

What is n = 2 

200

3-4q = 10q +10

What is q = -0.5

300

5t - 9 = -3t +7

What is t = 2

400

3(1+d)-5 = -6d-12

What is d=1.11 (rounded answer)

500

4(f -2) = 4f

What is no solution 

Finding Slope

100

The formula to find the slope between 2 points (x_1, y₁) and (x₂, y₂)

What is (y₂-y₁)/(x₂-x₁)

200

The slope of the line between (16, -2), (-18, -16)

What is 7/17

300

The slope of the line between (15, 15), (14, -16)

What is 31

400

The slope of the line between (-10, -13), (17, -10)

What is 1/9 (needs to be simplified!)

500

The slope of the line between (-16, -9), (-11, -11)

What is -2/5

Contextualizing

100

Lunches Made:       Pretzels Remaining:

0                            432

3                            378

7                            306

9                            270

13                          198

How many pretzels did the container start with?

What is 432 pretzels?

200

Lunches Made:       Pretzels Remaining:

3                            378

7                            306

9                            270

13                          198

How many pretzels are put in each lunch?

What is 18 pretzels per lunch?

300

Lunches Made:       Pretzels Remaining:

0                            432

3                            378

7                            306

Write an equation to represent the pretzels remaining, p, after making L number of lunches.

What is p = 432 - 18L ?

400

On their birthday, Joe got $100 and 2 gift cards and Jim got $60 and 6 gift cards. They each received the same amount of money on each gift card.

What is the value of one gift card? Show/explain how your arrived at the gift card value.

What is $10 each

500

If Joe received $100 and 3 gift cards and Jim received $100 and 2 gift cards, would it be possible for them to have received the same amount on each gift? Explain.

What is .... *answers vary*