Chapter 3

Solving Equations

100

Equations that have the same solutions are?

Equivalent Equations

200

What is an operation that undoes another operation?

Inverse Operation

300

x + 8=-15

x=-23

400

c - 4.5=13

c=17.5

500

2=z-6.4

z=8.4

Multiply or Divide Equations

100

y/3=5

y=15

200

4x=32

x=8

300

7=k/15

k=105

400

48=96z

z=.5

500

A pizza shop cuts a pizza into 8 slices. One slice costs $1.10. Which equation can you use to find the cost of the whole pizza? A. 1.10=8 C. x/8=1.10 B. 8x=1.10 D. x=1.10/8

C. x/8=1.10

Solving Two Step Equations

100

t/2-14=8

t=44

200

8=12-2x

2=x

300

13=11+y/3

y=6

400

-9+2k=-25

k=-8

500

7+5b=-23

b=-6

Writing Two Step Equations

100

The sum of 3 and a number is 16.

3+n=16

200

Seven subtracted from the quotient of a number and 2 is -6.

n/2-7=-6

300

The quotient of -36 and 9, subtracted from 4 times a number, is -8.

4n-(-36/9)=-8

400

What is the formula to find the area of a triangle?

A=1/2bh

500

A triangle has a base of 14in and a height of 12in, what is the area?

A=84 square inches

Solving Inequalities

100

Solve the inequality. Graph its solution x-5<8

x<13

200

Solve the inequality. Then graph its solution. k+4<(or equal to) 11

k<(or equal to)7

300

What value of x makes x-3>(or equal to)20 true? A.17 B.20 C.22 D.24

D.24

400

Decide whether the solution strategy will require reversing the inequality symbol. 1/3x<18 Multiply each side by 3.

No

500

A person must be at least 16 to have a driver's license in North Carolina. Tracy got her license 6 years ago. Write an inequality that expresses Tracy's age. Graph the solution of the inequality on a number line. Be prepared to explain your inequality and your graph.

a-6>(or equal to) 16; Tracy's age now minus 6 must be greater than or equal to 16 years old. The solution to the inequality is a>(or equal to) 22, so Tracy's age now is at least 22.