Unit 1 - Solving Equations Part 2

Multi-Step Equations

100

Solve: 3x+5=20

x = 5

200

Solve: 4x−7=21

x = 7

300

Solve: 3(2x−1)=2x+1

x = 1

400

Solve: 5(x+2)−3=2x+15

x = 8/3

500

Solve: 2(3x−4)+5=4x+9

x = 6

Inequalities

100

Solve: x+7>12

x > 5

200

Solve: 3x −4 ≤11

x ≤ 5

300

Solve: 7x + 10 − 11x ≤ 2

x ≥ 2

400

Solve: 4x − 25 > 9x + 5

x < −6

500

Solve: −5x + 8 ≥ 23

x ≤ −3

Compound Inequalities

100

Solve: −2 < x + 3 < 6

−5 < x < 3

200

Solve: −12 < 3x < 9

−4 < x < 3

300

Solve: −36 < 3x − 6 < −15

−10 < x < −3

400

Solve: x − 4 <−10x - 4 < -10 OR 2x > 3

x < −6x < -6 OR x > 6

500

Solve: 2x + 1 ≤−72x + 1 > -7 OR 3x − 6 > 9

x ≤ −4 OR x > 5

Formulas and Literal Equations

100

Solve A=1/2bh for h.

h=2A/b

200

Solve p=4r+3t for r.

r=p−3t/4

300

A triangle has an area of 252 square feet and a base of 24 feet. Find the height.

h=21 feet

400

Solve Ax+By=C for B.

B=C−Ax /y

500

A triangle has an area of 180 square feet and a base of 20 feet. Find the height.

h=18 feet

Think About It!

100

Why does this equation have infinitely many solutions?

12x+32/4=3x+8 

The equation above has infinitely many solutions because both sides simplify to the same expression.

200

What is the first step to solve:

y/3=6+x 

Multiply both sides by 3.

300

What happens when you multiply or divide an inequality by a negative number?

Reverse (flip) the inequality sign.

400

A shelter had fewer than 27 dogs and ended the month with 14 dogs. Write an inequality for the number of dogs adopted, xx.

x < 13

500

Explain why 2 is included in x ≥ 2.

The symbol ≥ means greater than or equal to, so 2 is included.