Big Idea 1 – Chapter 3

Algebra: Expressions, Equations, and

Patterns

Review

Gisele bought 8 markers at $3 each. She gave the cashier $40. Which expression can be used to find how much change Gisele should receive?

A. (8 x 3) – 4B. 40 – (8 x 3)C. (40 – 8) x 3D. (8 – 3) x 40

1

Gisele bought 8 markers at $3 each. She gave the cashier $40. Which expression can be used to find how much change Gisele should receive?

B. 40 – (8 x 3)

1

Hunter started the number pattern shown below?

1, 3, 9, _____

The rule is multiply by 3. What is the next number in the pattern?

2

Hunter started the number pattern shown below?

The rule is multiply by 3.

9 x 3 = 27

1, 3, 9, 272

Khamaree spent some money at Sports Authority. He bought 3 pairs of sneakers. Then he bought a football for $6. Let s represent the price of one pair of sneakers.

Action 1 Action 2

Which expression shows how much money Khamaree spent at Sports Authority?

A. 3s x 6 C. 3s ÷ 6B. 3s - 6 D. 3s + 6

s s6

s

3

Which expression shows how much money Khamaree spent at Sports Authority?

Action 1 Action 2

D. 3s + 6

6s ss

3

Which rule shows how to find the g in the table below?

A. 4w + 1 B. (w ÷ 2) + 1C. (w x 4) – 1 D. w + 4 - 1

Input w 3 4 5 6 7Output g 13 17 21 25 29

4

Which rule shows how to find the g in the table below?

A. 4w + 1

Input w 3 4 5 6 7Output g 13 17 21 25 29

4

Kasey buys 14 pumpkins. 8 are small. The rest of the pumpkins, p, are large. Which equations can be used to find out how many of the pumpkins are large?

A. p = 14 ÷ 8B. p = 14 + 8C. 14 = 8 – pD. 14 = 8 + p

5

Kasey buys 14 pumpkins. 8 are small. The rest of the pumpkins, p, are large. Which equations can be used to find out how many of the pumpkins are large?

D. 14 = 8 + p

5

Shamara has 25 stickers. She keeps 7 for herself. Then she shares the rest of the stickers with 6 of her friends. The expression (25 – 7) ÷ 6 shows this situation. How many stickers does each friend receive?

6

How many stickers does each friend receive?

(25 – 7) ÷ 6

25 – 7 = 18

18 ÷ 6 = 3

Each friend receives 3 stickers 6

Jordan says he can multiply any number by one in his head. Which describes a way Jordan knows the product of any number and one?

A. The product is always 1B. The product is always the number being multiplied by 1C. The product is always 10 less than the number being multiplied by 1D. The product is always 0.

7

The Identity Property of Multiplication states that the product of any number and one is that number.

B. The product is always the number being multiplied by 1

7

Nathan has 50 football trophies. He puts the trophies into equal groups. Let t represents the number of groups. Which expression shows the number of trophies in each group?

A. 50 x t B. 50 ÷ tC. 50 – t D. 50 + t

8

Nathan has 50 football trophies. He puts the trophies into equal groups. Let t represents the number of groups. Which expression shows the number of trophies in each group?

B. 50 ÷ t

8

Thaddeus made the number pattern shown below.

Thaddeus made the number pattern shown below. 75, 63, 51, 39, 27, 15

Which of the following describes a rule for this pattern?

A. Subtract 24B. Subtract 8C. Subtract 12D. Divide by 6

9

Thaddeus made the number pattern shown below.

75, 63, 51, 39, 27, 15

Which of the following describes a rule for this pattern?

C. Subtract 12

9

Hailey’s father cut up apples into 6 slices each to make an apple pie. He used a total of 54 apple slices. Which equation can be used to find the number of apples, a, Hailey’s father cut?

A. 54 – 6 = aB. a ÷ 6 = 54C. 54 x 6 = aD. 6a = 54

10

Hailey’s father cut up apples into 6 slices each to make an apple pie. He used a total of 54 apple slices. Which equation can be used to find the number of apples, a, Hailey’s father cut?

D. 6a = 54

10

Jenna has 5 times as many rings as Jewel. Let r represent the number of rings Jewel has. What number should go in the box below to show the number of rings Jenna has?

X r

11

Jenna has 5 times as many rings as Jewel. Let r represent the number of rings Jewel has. What number should go in the box below to show the number of rings Jenna has?

X r5

11

Alex sees 40 avocadoes on a tree. Some avocadoes, a, fall to the ground. Alex sees 32 avocadoes left on the tree. Which operation makes the equation below true?

40 a = 32A. additionB. multiplicationC. subtractionD. division

12

Alex sees 40 avocadoes on a tree. Some avocadoes, a, fall to the ground. Alex sees 32 avocadoes left on the tree. Which operation makes the equation below true?

40 a = 32

C. subtraction

-

12

Drew has 35 baseball cards in his collection. He gives some of his cards to his brother. The expression below can be used to determine the total number of baseball cards Drew has left, where c represents the number of baseball cards Drew gives to his brother.

35 – c

If Drew gives his younger brother 12 baseball cards, how many baseball cards does Drew have left?

13

Drew has 35 baseball cards in his collection.

Drew gives his younger brother 12 baseball cards.

How many baseball cards does Drew have left?

35 – c35 – 12 = 23

Drew has 23 cards left. 13

Elena made a pattern with stars. The first four figures in the pattern are shown below.

Figure 1 Figure 2 Figure 3 Figure 4

If Elena continues the pattern, how many stars will she use to make Figure 5?

14

If Elena continues the pattern, how many counters will she use to make Figure 5?

Figure 1 Figure 2 Figure 3 Figure 4

.

Figure 5 would have 15 stars.

14

The length of the Boston subway system, b, is 17 miles shorter than the length of the Rome subway system. Rome’s system is 267 miles long. Which equation can be used to find the length of Boston’s subway system?

A. 267 + 17 = 284B. 267 ÷ 17 = bC. b – 17 = 267D. b + 17 = 267

15

The length of the Boston subway system, b, is 17 miles shorter than the length of the Rome subway system. Rome’s system is 267 miles long. Which equation can be used to find the length of Boston’s subway system?

D. b + 17 = 267

15

Good luck on your test!