Teresa Can Add 58.63 to Both Sides of the Equation. No

Teresa Can Add 58.63 to Both Sides of the Equation. No

CFA #6 review

  1. Mrs. Jones earns $23 for each lawn that she mows. Write an expression that could be used to find the amount she earns mowing any number of lawns, L. 23L
  1. Teresa is trying to solve the equation 58.63 + x = 88. Determine whether she could use each statement below to reason and solve the equation. Write yes or no.
  1. Teresa can add 58.63 to both sides of the equation. No
  2. Teresa asks, “What number can be added to 58.63 to get 88?” Yes
  3. Teresa thinks, “x is the difference between 88 and 58.63.” Yes
  4. Teresa can divide 88 by x to get a value equal to 58.63 No
  5. Teresa knows that 58.63 + 0.37 = 59 and 59 + 30 = 88, so x must be 30.37 No
  1. Jon and Andy are running. Jon runs 4.5 meters more than Andy.

PART A

Write an equation for the number of meters Jon runs, j, if Andy runs 10 meters.

j = 10 + 4.5 **Answers may vary**

PART B

Write an equation for the number of meters Andy runs, a, if Jon runs 5.5 meters.

5.5 = a + 4.5 **Answers may vary**

PART C

Fill in the blanks to tell the number of meters Jon and Andy run.

If Jon runs 8.8 meters, Andy runs 4.3 meters.

If Andy runs 11.2 meters, Jon runs 15.7 meters.

  1. Kate has made at least $400 in the past year babysitting. Write and graph an inequality to represent this.

x  400

  1. The class has raised at most $56 in change each week. Write and graph an inequality to represent this.

x  56

  1. Look at the inequality 15 + 5x > 45

Tell whether each statement about the inequality is True or False.

  1. 5 is a solution False
  2. 8 is a solution True
  3. 6 is a solution False
  4. There is only one solution False
  5. 10 is a solution True
  1. Look at the inequality 8 + 3x < 23

Tell whether each statement about the inequality is True or False.

  1. 6 is a solution False
  2. 5 is a solution True
  3. -5 is a solution True
  4. 3 is a solution True
  5. 10 is a solution False
  1. A scuba diver dives 50 feet below sea level the first time he dives. On the second dive, he goes deeper.

PART A

Write an inequality that represents the possible depth, d, of the diver’s second dive.

d < - 50

PART B

Draw and graph the inequality on a number line.

  1. Last week, snow fell at a rate of 2.5 inches per hour.

Write an equation to show the relationship between the number of hours, h, and last week’s snowfall, x. x = 2.5h

  1. The cafeteria is selling cookies for its students. Each cookie costs $2. The fee to deliver any size order is $5. Let h equal the number of cookies ordered and c equal the total cost.

PART A

How much will it cost to buy different numbers of cookies?

Complete the table.

Number of cookies (h) / 1 / 2 / 3 / 4 / 5
Total cost ($) (c) / 7 / 9 / 11 / 13 / 15

PART B

Tell whether each statement about the cost of cookies is True or False.

  1. For each additional cookie ordered, the total cost increases by $2 True
  2. A point is located at (10,25) on the graph that represents this situation True
  3. The total cost of 7 cookies is $20 False
  4. The equation 2h + 5 = c can be used to determine the cost of any number of cookies. True
  5. The ordered pair (3.3,11.6) makes sense for this situation. False
  1. A company allows students to design and order custom shirts. There is a single fee of $5 to create the new design, and then each shirt cost $8. The graph shows the total cost of buying different numbers of special shirts.

Which best describes the relationship between the number of shirts ordered and the total coast of the shirts?

Afor every increase of 1 in the number of special shirts ordered, the total cost increases by $13

Bfor every increase of 1 in the number of special shirts ordered, the total cost increases by $9

Cfor every increase of 1 in the number of special shirts ordered, the total cost increases by $5

D for every increase of 1 in the number of special shirts ordered, the total cost increases by $8

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