TMS Algebra May 11-15

7(x + 2) + 3 = 73 Step 1: Distribute (multiply x by 7 and 2 by 7)

7x + 14 + 3 = 73 Step 2: Combine like terms

7x + 17 = 73 Step 3: Subtract 17 from both sides

Step 4: Divide by 7

• x = -8

• x = 8

• x = - 12.86

• x = 12.86

Solve for n.

11(n – 1) + 35 = 3n

• n= -6

• n=-3

• n=6

• n=3

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

• 3

• 4

• 5

• 9

How many solutions exist for the given equation?

3x + 13 = 3(x + 6) + 1

• infinitely many

• one

• two

• zero

Which input value produces the same output value for the two functions?

• x=0

• x=-1

• x=1

• x=-3

Which input value produces the same output value for the two functions on the graph?

• x=1

• x=3

• x=-1

• x=-3

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

Step 1: –10 + 8x < 6x – 4

Step 2: –10 < –2x – 4

Step 3: –6 < –2x

Step 4: ________

• x < –3

• x > –3

• x < 3

• x > 3

Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an initial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee?

If h represents the hourly fee, which equation models this problem?

• 7h+43=64

• 7h+7=64

• h+43=64

• h=43+64

-6(x - 1) - 7 = - 7x + 2

• x = 2

• x = 4

• x = 3

• x = -3

This week, Michael collected $468 for delivering newspapers. He had 40 repeat customers and 18 new ones. As an incentive, he charged the new subscribers $3 less than the repeat customers.

If x represents the amount Michael collects from each repeat customer, which equation models this problem?

• 40x+18(x-3)=468

• 18x=40(x-3)=468

• 40x+18x-3=468

• 58x-3=468