Algebra 1 - Solving Equations

Simplifying Expressions

100

The expression:

(3x²+4x-8)+2(11-5x)

is equivalent to...

3x²-6x+14

WORK

- distribute the 2

-combine like terms

200

What is the product of (2x+7) and (x-3)?

2x²+x-21

WORK

Box Method or Double Distribute

300

Express the product of the following expression in standard form.

2x²+7x-10 and x+5

2x³+17x²+25x-50

WORK

Box Method

400

Write the expression 5x+4x²(2x+7)-6x²-9x in standard form

8x³ + 22x² - 4x

WORK

distribute

Highest exponent in front

500

When (2x-3)² is subtracted from 5x², the result is...

x²-12x+9

WORK

5x²-(2x-3)(2x-3)

Functions

100

Evaluate f(-3) if f(x)=x²+4x+5

2

200

Given the function g(x)=(2^x+3)/(x²-2), find g(-2)

1

300

Given the function f(x)=2x²+2x-4 on the domain 

[-1, 5], what is the range?

[-4, 56]

400

The range of the function f(x)=x² - 8 is...

(Write in interval notation)

[-8, infinity)

500

If f(x)=30x²/(x+2) and g(x)=4x+1, are f(x)=g(x) when f(1/2)? SHOW YOUR WORK!

Yes, they both equal 3

Solving Equations

100

Solve for m:

5 = 5m - 23 + 2m

m =4

WORK

5 = 5m - 23 + 2m

5 = 5m + 2m - 23

5 = 7m - 23

5 + 23 = 7m - 23 + 23

28 = 7m

28/7 = 7m/7

4 = m

200

Solve for x:

-2.4(x + 1.4)= 6.8x - 22.68

x = 2.1

300

Solve for x:

-8(2x - 1) = 36

x = -7/4

400

Solve for x:

3.5 - 0.02x = 1.24

x = 113

WORK

3.5 - 0.02x = 1.24

100*(3.5 - 0.02x) = 1.24*100

350 - 2x = 124 [Distributive Property]

350 - 350 - 2x = 124 - 350

-2x/(-2) = -226/(-2)

x = 113

500

Solve for x:

(x+4)/3=(x+2)/5

x = -7

Random Fun Facts

100

In Stranger things, what is Elevens Favorite Food?

Ego waffles

200

Which two NFL teams consistently play a game on Thanksgiving day?

Detroit Lions & Dallas Cowboys

300

Name 3 actors that are part of the Marvel Universe AND who they play.

Let's hear it!

400

Stefon Diggs just had a baby with which famous rapper?

Cardi B

500

Aside from the most recent season, which famous influencer on Tik Tok also competed on dancing with the stars?

Charli D'Amelio

Word Problems

100

Susan goes to the store and purchases bags of chips for her class for $4 each. She spends $40 in total, how many bags of chips did she buy at the store?

10 bags of chips

200

Olivia worked for 4 hours on Saturday and 8 hours on Sunday. She received a $50 holiday bonus. She earned $164.00 in total. How much did Olivia make per hour?

$9.50 per hour.

WORK

4x + 8x + 50 = 164

12x + 50 = 164

12x + 50 - 50 = 164 - 50

12x = 114

12x/12 = 114/12

x = 9.5 ~~~> $9.50

300

Brenda has $500 in her bank account. Every week, she withdraws $40 for expenses. Without making any deposits, how many weeks can she withdraw this money if she wants to maintain a balance of at least $200?

7 weeks

Work;

500-40x>200

400

Online concert tickets cost $37 each for a local concert at Jones Beach. The website also charges a transaction fee of $14.99 for the purchase. You paid $199.99. How many tickets did you buy?

You bought 5 tickets.

WORK

37t + 14.99 = 199.99

500

The length of a rectangle is nine less than three times the width. If the perimeter of the rectangle is 70, find each dimension.

width = 11

length = 24

WORK

Let width = x

Let length = 3x-9