Review Topic 3 Part 2

Review Topic 3 Part 2

Expressions​

By Karen Martin

Multiple Choice

15 fewer than m

• 15 - m

• m - 15

• 15m

• 15 + m

Multiple Choice

The sum of a number k and 12

• k + 12

• k - 12

• 12k

• 12/k

Multiple Select

The quotient of b and 10

Mark all correct answers.

• $$b\div10$$

• $$\frac{b}{10}$$

• 10b

• $$\frac{10}{b}$$

Multiple Choice

The product of c and 27

• c + 27

• c - 27

• 27c

• $$\frac{c}{27}$$

Multiple Choice

9 more than 5 times the number p

• $$\left(\frac{p}{9}\right)+5$$

• 9 + 5 + p

• 9(5 + p)

• 9 + 5p

Multiple Choice

three times j plus 7

• $$\left(\frac{3}{j}\right)+7$$

• 3j + 7

• 3 + j + 7

• 3(j +7)

Write an expression from a story.

What is the basic cost? You ADD it.

What is the REPEATING cost? (per or each)
You multiply it by the variable.

Multiple Choice

You want to go bowling. The shoes cost $8.00 to rent for the day, plus you must pay $2.00 per game you bowl. Write an expression to show the cost of bowling if b represents the number of games you bowl.

• $$8-2b$$  

• $$8+\left(2+b\right)$$  

• $$2+8b$$  

• $$8\ +2b$$  

Multiple Choice

The expression 8 + 2b represents the cost of bowling when b is the number of games you bowl. If you bowl 3 games, how much will it cost?

• $13 

• $14 

• $31 

• $30 

Multiple Choice

You want to rent a canoe. It costs $10 plus $1.50 each hour. Write an expression to show the cost of renting the canoe if h represents the number of hours you rent it.

• 10 + 1.50(h) 

• 10 + (h - 1.50) 

• 1.50 + 10 + h 

• 11.50 + h 

Multiple Choice

The expression 10 + 1.50(h) represents the cost of renting the canoe if h represents the number of hours you rent it. (referencing prior question.) If you keep the canoe for 5 hours, how much will it cost?

• $13 

• $16.50

• $17.50

• $175.00

Evaluate an expression by replacing variables with chosen numbers.

Evaluate 5t - 3 when t = 2 5(2) - 3 = 10 - 3 = 7

8a - 2b + c

Evaluate for a=2, b=3, c=7

Write, Substitute, Solve

8(2) - 2(3) + 7

16 - 6 + 7​

10 + 7 = 17​

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Substitute, then simplify using order of operations.

Use a division ladder to factor out the GCF. Write the equivalent expression with the GCF outside the parenthesis.

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12x + 18y = 6(2x + 3y)

GCF and the Distributive Property

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Multiple Choice

Use the GCF and Distributive Property to write an equivalent expression.

14g + 21

• 7(2g + 3)

• 7(2g +21)

• g(14 + 21)

• 2(7g + 14)

Multiple Choice

Use the GCF and Distributive Property to write an equivalent expression.

7b + 5b

• b(7 + 3)

• 7(b +5)

• b(7 + 5)

• 7b(1 + 5)

Multiple Choice

Use the GCF and Distributive Property to write an equivalent expression.

45x + 81z

• 9(x + z)

• 9(5x +9z)

• 5(9x + 16z)

• 9(5x + z)

You can use the distributive property to multiply the GCF by each term inside the parenthesis to simplify. ​

Multiply the GCF back in

Multiple Choice

Use the GCF and Distributive Property to write an equivalent expression.

6(c + 7)

• 42c

• 6c + 7c

• 6c + 42

• 6c + 7

Multiple Choice

Use the GCF and Distributive Property to write an equivalent expression.

3(4c + 5)

• 12c + 15

• 34c +35

• 12c + 15c

• 27c

Multiple Choice

Which is equivalent?

4(5t + 7)

• 20t + 28

• 9t + 11

• 20 + 28t

Multiple Choice

Which is equivalent?

11(3 + c)

• 33c + 11c

• 33 + 11c

• 14 +11c

Multiple Choice

Which is equivalent?

5a(6 +2j)

• 30a + 10j

• 5a + 6 + 2j

• 30a + 10aj

Multiple Select

Which is equivalent? (More than one answer.)

12(5h - 3)

• 6(10h + 6)

• 60h - 36

• 60h - 39

• 6(10h - 6)

​Draw matching shapes around terms with matching variables or around the constants (numbers with no variable). Add / subtract the coefficients. Put them in alphabetical order and with higher powers in front.

Simplify by combining like terms

Multiple Choice

Combine like terms.

20w ‒ 2w + 9 ‒ 3w

• 15w + 9

• 25w + 9

• 18w + 9

• 21w + 9

Multiple Choice

Combine like terms.

5 + 8v - 2 - v

• 7v +3

• 4 +7v

• 9v + 7

• 7v + 7

Multiple Choice

Combine like terms.

6g + 8k - 2k + 4g - 3

• 6k + 10g + 3

• 14g + 2h -3

• 8g + 10k - 3

• 10g + 6k - 3

Multiple Choice

Combine like terms.

15.7a + 50c  − 3.7a − 2c

• 48a + 12c

• 12a + 52c

• 19.4a + 52c

• 12a + 48c

Good luck from the cat.

• Review your notes.

• Look over your homework.​

• Go through this again.

GOOD LUCK!​

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