Unit 2 SREB

Solving Problems

100

Is 4x+7 an expression or an equation?

expression 

200

Is x=3 a solution to 2x+5=11?

yes

300

How many solutions does 5x+10=5(x+2) have?

infinite

400

How many solutions does 3x+7=3x−2 have?

no solutions

500

Is 4(x+2)=2(2x+4) an identity? Explain.

yes, it has infinite solutions

Always, Sometimes, Never

100

3(x+2)=3x+6

Always

200

x+4=x−4

never

300

x²=5x

sometimes, x= 0, 5

400

(x+4)²=(x−4)²

sometimes, x=0

500

x²−16=(x−4)(x+4)

Always

Evaluating Equations

100

Solve: x+9=15

x=6

200

Solve: 4x−7=21

x=7

300

Solve: 3(x+2)=18

x=4

400

Solve: 5−2x≥17

x≤−6

500

Solve: 3(x−2)+4<2(x+5)

x<12

Rearrange and Compare

100

Solve A=lw for l.

Answer: l=A/w

200

Solve d=rt for t.

Answer: t=d/r

300

Solve 2x+3y=12 for y.

y=(12-2x)/3

400

Solve for C.

F=9/5C+32

Answer:

C=5/9(F-32)

500

Are 3(x−4)=18 and 3x−4=18 equivalent? Explain.

Answer: No. The first has x=10, while the second has x=22/3.

Real-world scenarios

100

Movie tickets cost $8 each. Write an expression for the cost of t tickets.

Answer: 8t

200

You have $50 and spend $6 on each meal. Write an expression for the money remaining after buying m meals.

Answer: 50−6m

300

A shirt costs $60 and is discounted by 25%. What is the sale price?

Answer: $45

400

Three consecutive integers have a sum of 72. Find the integers.

Answer: 23, 24, and 25

500

A bus can carry at most 3,600 pounds. Each passenger and their luggage weigh about 180 pounds total. The driver and supplies weigh 360 pounds. Write an inequality and find the maximum number of passengers.

Answer: 180p+360≤3600; maximum of 18 passengers.