Integrated 1: Chapter 1-Test Review

Solving Simple and Multi-Step Equations

100

3x+1=-5

x= -4/3

200

5/4x=5

x=4

300

6(x+1)=-12

x=-3

400

-1/2(2x+4)=5x-1

x=1/2

500

(x-1)/3= 3x-5x+2

x=1

Rewriting Equations and Solving Literal Equations

100

Solve the literal equation for x.

y = 4x + 8x

x= y/12

200

Solve the literal equation for x.

y = 3bx − 7x

x= y/(3b-7)

300

Solve the literal equation for y.

5x-2=8+5y

y=x-2

400

Solve the literal equation for y.

3x+1=7-4y

y=-3/4x + 3/2

500

DOUBLE JEOPARDY: Surface area of a cylinder: S = 2πr² + 2πrh; Solve for h. (Simplify all the way.*)

h= S/2πr - r 

Solving Word Problems

100

You and your friend drive toward each other. The equation 50h = 190 − 45h represents the number h of hours until you and your friend meet. When will you meet?

h=2; You will meet in 2 hours.

200

Michael has a total of 92 coins in his collection. This is 8 more than three times the number of quarters in the collection. How many quarters does Michael have in his collection?

q=28; He has 28 quarters in his collection.

300

DOUBLE JEOPARDY: At a book fair, a tote bag costs $5 and books cost $3.50 each. You spend a total of $19 before taxes. How many books did you buy in addition to the tote bag? 

You will be able to buy 4 books and 1 tote bag.

400

Container A and container B have leaks. Container A has 800 ml of water, and is leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water.

m=50; In 50 minutes, the two containers will have the same amount of water.

500

Tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingular’s plan charges $39.99 per month with additional minutes costing $0.45. Verizon’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same?

a=100; Within 100 minutes, both plans will cost the same.

Solving Absolute Value Equations (One-sided)

100

|-3x|=9

x= 3, -3

200

|-4+5x|=16

x= 4, -12/5

300

|-2n+6|=-6

No solution; Absolute value property*

400

3|−8x| + 8 = 80

x=3, -3

500

3|3 − 5r| − 3 = 18

r= -4/5, 2

Solving Absolute Value Equations (Two-sided)

100

∣4n − 15∣ = ∣n∣

n = 3, 5

200

∣2c + 8∣ = ∣10c∣

c = −2/3, 1

300

∣2b − 9∣ = ∣b − 6∣

b = 3, 5

400

4∣p − 3∣ = ∣2p + 8∣

p= 2/3 , 10

500

∣3x − 4∣ = ∣3x − 5∣

x =3/2