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Algebra Foundations Worksheet

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Algebra Foundations Worksheet

Read each number sentence carefully. Show your thinking where space is provided.

Equal signs and number sentences

1.What does the equal sign in 8 + 4 = 10 + 2 tell you?

The calculation on the left must be done first.
The expressions on both sides have the same value.
The numbers on the left are added to the numbers on the right.

2.Is 9 + 7 = 12 + 4 a true number sentence?

3.Is 18 − 6 = 9 + 4 a true number sentence?

4.Is 13 + 5 = 20 − 2 a true number sentence?

5.Is 16 − 7 = 5 + 5 a true number sentence?

Find the unknown number

6.Find the number that makes 14 + □ = 21 true.

7.Find the number that makes □ + 8 = 19 true.

8.Find the number that makes 23 − □ = 9 true.

9.Find the number that makes 17 − 5 = □ + 3 true.

10.Explain one way to find the missing number in 14 + □ = 21.

Number patterns

11.The pattern 4, 7, 10, 13 continues by adding the same amount each time. Write the next two terms.

12.The pattern 4, 7, 10, 13 increases by the same amount each time. State the rule.

Position

Term

□

13.What rule describes how to calculate a term from its position?

Add 4 to the position.
Multiply the position by 4.
Subtract 4 from the position.

14.A pattern starts at 6 and increases by 5 each time: 6, 11, 16, 21, … What is the 8th term?

Use algebra to solve problems

15.Mele had some marbles. After giving 9 marbles away, she had 17 left. Write an equation using m for the number of marbles she had at first, then find m.

16.Which number sentence shows two equal totals made by adding?