Unit 1 Test Review (Ms. Guthrie)

Solving Equations

100

3(9x + 5) = 150

x=5

200

 5(2x + 7) - 2 = 93

x=6

300

6x + 51 = 8x + 31

x=10

400

2(1 + 3x) +3(-3x - 3) = -1

x=-2

500

-4(-2 - 5x) = 21 + 7x

x=1

Solving Inequalities

100

Solve the following:

4x+7<11

x<1

200

Solve the following:

4(x+3)<24

x<3

300

Solve the following:

-3(x+4)<6

x>-6

400

What is the solution in interval notation?

-(1+5c)-7c<-5(c+10)

(7,∞ )

500

find the solution in interval notation:

4x+7(3x-3)<9-5x

(-∞ ,1)

Special Solutions

100

all real numbers or no solution?:

3c-7>-15+3c

all real numbers

200

Put the solution, "all real numbers" in interval notation.

(-∞, ∞ )

300

What is the solution in interval form?

3x+11<3(x+7)

(-∞, ∞)

400

all real numbers or no solution?:

-2(2-2c)-4(c+5)<-24

no solution

500

all real numbers or no solution:

10y+7-4y=-5+6y+22

no solution

Word Problems

100

Elysia is opening a savings account with $200. Each week she deposits $50. She wants to save $750. Write an equation to show the situation.

50w+200=750

200

Jackson needs to rent a car while on vacation in Colorado. He spends $57 on insurance, and then is charged $5.25 per mile he drives the car. He spends a total of $180. Which equation could be used to determine m, the number of miles he drove?

5.25m+57=180

300

Alexis wants to run a total of 35 miles this week. She already ran 10 miles. If she runs 5 more days, what equation could be used to determine m, the average number of miles she would have to run each of the 5 days to meet her goal?

35=5m+10

400

Ms. Guthrie wrote “3 less than 6 times a number is less than 14” on the board. If x represents the number, which inequality is a correct translation of the statement?

6x-3<14

500

Target is having a sale on TV's and Laptops. The store makes $100 profit on the sale of each TV (t) and $50 profit on the sale of each laptop (l). The store wants to make a profit of at least $1000 from it's sale on TV's and laptops. Which inequality describes this situation?

100t+50l≥ 1000

Random

100

Would you use an open dot or closed dot when graphing:

x>3?

open dot

200

Put the following in interval notation:

x<3

(-∞, 3)

300

How could I write "Gracie has at least $100" as an inequality?

m≥ 100

400

When do you flip the inequality symbol?

When you multiply or divide both sides of the inequality by a negative number!

500

Goofy George has work the following inequality but she has made one error. Find the error and explain the incorrect step.

-4x-5>3x+2

-7x-5>2

-7x>7

x>-1

George divided both sides by a negative, but forgot to flip the inequality sign.