Test 1 Review

Solving Equations

100

Simplify the expression

3y+2-3y+5+2x

7+2x

200

x/5=-6

x = -30

300

3(x+1)+6=-9

x=-6

400

5=(-z/4)-3

z=-32

500

13=-2(y-4)+3y

y=5

How many solutions?

100

Simplify the expression

-15-2(x-5)+y-2x

-5-4x+y

200

2x-8=-4(x+8)

x=-4

300

-9(x-2)=4(x-15)

x=6

400

3(4x+6)=2(6x+9)

Infinite Solutions

500

5(1+2x)=0.5(8+20x)

No Solution

Absolute Value

100

|x-2|+3=7

x=-2 or x=6

200

|3x+9|-10=-4

x=-5 or x=-1

300

2|2x+6|=16

x=-7 or x=1

400

Check for extraneous solutions.

|4x+10|=6x

x=5; reject x=-1

500

Check for extraneous solutions.

|2x-9|=|x-6|

x=3 and x=5

Literal Equations

100

Solve for y.

9x-y=45

y=9x-45

200

Solve for x.

3+5x=kx

x= 3/(k-5)

300

Solve for y.

16+9=9y-2x

y=(25+2x)/9

400

Solve for x.

y=4x+rx+6

x=(y-6)/(4+r)

500

Solve for r.

A=xr²

r=sqrt(A/x)

Real-Life Problems

100

A discounted concert ticket is $14.50 less than the original price p. You pay $53 for a discounted ticket. What is the original price of the ticket?

$67.50

200

You spent $50 on supplies for the bake sale. Each item sold for $2. After the sale, you had a profit of $180. How many items did you sell?

115 items

300

The formula for the surface area S of a rectangular prism is S=2lw+2lh+2wh. Solve the formula for the length l.

l=(S-2wh)/(2w+2h)

400

A fever is generally considered to be a body temperature greater than 100^oF. Your friend has a temperature of 39^oC. Does your friend have a fever? Explain.

102.2^oF = 39^oC; Yes

500

Write the equation given and solve.

Four times the sum of twice a number and three, decreased by the difference of the number and seven, equals 61.

4(2n+3)–(n-7)=61

x=6