Represent & Solve Equations

What is the value of this equation?

b = (3 x 6) + 1.2 ÷ 4

Mathematical Equivalence

ON

Mr. Anderson had 185 pieces of wood. He sold 25 pieces of wood to his neighbor and stacked the rest of the wood into piles around his house. Each pile of wood contained 40 pieces of wood. Which equation can be used to find p, the number of piles of wood Mr. Anderson made?

• p = (185 + 25) + 40

• p = (185 - 25) - 40

• p = (185 + 25) x 40

• p = (185 - 25) ÷ 40

This equation can be used to find b, the number of dollars Mrs. Colton earned as a sales bonus last week.

b = 429 - (39 x 9)

What was the amount of Mrs. Colton's bonus?

(a)  

• $78
• $20
• $158
• $138
• $178

There are 180 students at summer camp. Each cabin houses 12 students. There are 2 counselors for each cabin. Solve the equation c = (180 ÷ 12) x 2 to find the number of c, counselors.

Mathematical Equivalence

ON

Michael saved $21. Then, he received $16 for his birthday. Michael spent $8 on a baseball cap and $12 on a t-shirt. Which equation finds m, the amount of money Michael has left?

• m=(21 + 16) - (8x12)

• m=(21-16) + (8+12)

• m=(21+16) - (8+12)

• m=(21+16) + (8+12)

Kendra earned a total of $625 selling jewelry. She sold 7 necklaces for $55 each. She sold 8 rings. Each ring was sold for the same price. The equation shown can be used to find r, the amount of money in dollars she earned for each ring sold.

r = [625 - (7 x 55)] ÷ 8

What amount of money in dollars did Kendra earn for each ring sold?

Mathematical Equivalence

ON

Three friends worked on homework last night.

Christine worked on homework for 27 minutes. Philip worked on homework 12 minutes less than Christine. Nathan worked on homework for 3 times as long as Philip. Which equation represents m, the time in minutes Nathan worked on his homework?

• (12 + 27) ÷ 3 = m

• (27 - 12) x 3 = m

• (27 - 12) ÷ 3 = m

• (27 + 12) x 3 = m

Mrs. Gonzalez is giving pencils away to the students of her school before their STAAR test. She has a total of 330 pencils. She gives an equal number of pencils to students in 15 different classrooms. Which equation shows how to find p, the total number of pencils in 4 of those classrooms.

• p=(330 ÷15) ÷ 4

• p=(330x15) ÷ 4

• p=(330x15) x 4

• p=(330 ÷ 15) x 4

A middle school had 100 boxes of pencils. Each box had 24 pencils Teachers put all the pencils into bags to give to the students. They put 6 pencils into each bag. Which equation can be used to find b, the number of bags the teachers can fill with these pencils?

(a)  

• 100 x 24 ÷ 6 = p
• 24 x 100 + 6 = p
• 100 ÷ 6 + 24 = p
• 24 x 6 x 100 = p

Tessa bought 2 notebooks for $6.95 each and a package of markers for $9.95. She has a $15 gift card. Use the equation shown to determine how much more money she will need to purchase these items.

m = [2 x 6.95 + 9.95] - 15

Mathematical Equivalence

ON