Progress Check for Lessons 19-23

Question 1:

1. What are the next two numbers in this pattern? 1.2, 1.9, 2.6, 3.3, 4.0, …

A. 4.2, 4.9 B. 4.7, 5.4 C. 4.7, 5.7 D. 5.2, 5.9

Answer 1:

The correct answer is: B 4.7, 5.4 Step 1: Determine the pattern that

the numbers follow. In this question, you added 0.7 to the previous number to arrive at the next number in the pattern.

Step 2: Add 0.7 to 4.0. = 4.7 Step 3: Add 0.7 to 4.7 = 5.4

Question 2:

2. What is the missing number in this pattern? 60,58,56,54,____, 50, …

A. 59 B. 53 C. 52 D. 51

Answer 2:

2. The correct answer is C. 52 Step 1: Determine the pattern. In

this set of numbers the pattern is to subtract 2 from the previous number.

Step 2: Subtract 2 from 54 to get 52.

Question 3:

3: Solve for x: 8x = 72

A. 8 B. 9 C. 10 D. 11

Answer 3:

3. The correct answer is B. 9 Step 1: You need to isolate the

variable. Therefore, you need to do the inverse operation. Determine which operation is shown (multiplication).

Step 2: The inverse of multiplication is division.

Step 3: Divide both sides by 8. Step 4: x = 9

Question 4:

4. What is the solution of this equation?

x – 8 = 55

A. X = 42 B. X = 47 C. X = 58 D. X = 63

Answer 4:

4: The correct answer is D. X = 63 Step 1: You need to isolate the

variable by doing the inverse operation. Since the operation listed is subtraction, you must do the inverse (addition) to each side.

Step 2: 55 + 8 = 63

Question 5:

5: Kimberly writes 6 pages every 2 hours. At this rate, how many pages can Kimberly write in 5 hours?

A. 4 B. 8 C. 12 D. 15

Answer 5:

5. The correct answer is D. 15 Step 1: Determine the unit rate.

Since she write 6 in 2 hours, divide 6 by 2 to get 3 pages in one hour.

Step 2: Multiply 3 pages by 5 hours and get 15.

Question 6:

6: Identify the mathematical expression that models this word expression:

six less than the quotient of a number and four

A. 6 – n 4 C. n - 6 4

B. n + 6 D. 6 - 4 4 n

Answer 6:

7. The correct answer is: C. n - 6 4

Step 1: Read through the problem and pick out the important/key words. (Quotient and less)

Step 2: Write the expression as it reads using mathematical symbols.

Question 7:

7: Solve for J: 4J = 36

A. 9 B. 32 C. 40 D. 144

Answer 7:

7: The correct answer is: A. 9

Step 1: Isolate the variable by performing the inverse operation to each side. Since the operation listed is multiplication, the inverse is division. Divide both sides by 4.

Step 2: 36 divided by 4 = 9.

Question 8:

8A. Mark wrote the number pattern below:

10, 15, 20, 25, 30, ___, 40, ….. A. What is the rule for the pattern?

The rule for pattern is to add 5 to the previous number to arrive at the following number.

Question 8 (Cont.)

8B: What is the missing number in the pattern?

The missing number is 35

Question 8 (Cont.)

8C: The seventh term in the pattern is 40. What are the eighth and ninth terms?

The eighth term is 45. The ninth term is 50.

Question 9A:

Kalmi wrote the following word expression:

Five less than a number is equal to seven.

Write a mathematical sentence that models the word sentence above. Let n represent the number.

N – 5 = 7

Question 9B:

9B: Solve Kalmi’s mathematical sentence. Show your work.

n = 12 Step 1: Isolate the variable by

completing the inverse operation. The inverse of subtraction is addition. Add 7 + 5 to get 12. n = 12

Question 10A:

10A: The graph below shows the growth of Sayeed’s plant.

10A: How much doesthe plant grow in 1 week?

The plant grows 0.5 cm in 1 week.

Question 10B:

10B: How tall will the plant be after 10 weeks? Explain your reasoning.

The plant will be 5 cm tall. Since we already had the unit rate of

0.5 cm in 1 week. We need to multiply the weeks by 10 to find the amount in 10 weeks. If we multiply the weeks, we must also multiply the growth by 10. 0.5 * 10 = 5.0