Algebra — Practice

Question 1

Is 6 + 8 = 9 + 5 true or false?

Accepted Answer

Both sides come to 14, so it is true.

Question 2

Is 10 + 4 = 14 + 2 true or false?

Accepted Answer

The left is 14 and the right is 16, so it is false.

Question 3

If x = 8, find the value of x + 7.

Accepted Answer

8 + 7 = 15.

Question 4

If y = 5, find the value of 4y.

Accepted Answer

4y means 4 multiplied by y, so 4 x 5 = 20.

Question 5

Fill in the correct sign: 20 - 5 ___ 3 x 5.

Accepted Answer

The left is 15 and the right is 15, so the two sides are equal.

Question 6

Fill in the correct sign: 7 x 2 ___ 9 + 6.

Accepted Answer

The left is 14 and the right is 15, so 7 x 2 < 9 + 6.

Question 7

Solve x + 6 = 13 and check your answer.

Accepted Answer

x = 13 - 6 = 7. Check: 7 + 6 = 13.

Question 8

Solve x - 4 = 11 and check your answer.

Accepted Answer

x = 11 + 4 = 15. Check: 15 - 4 = 11.

Question 9

Solve 4x = 24 and explain which operation you used and why.

Accepted Answer

x = 24 / 4 = 6. Division was used because it undoes multiplication. Check: 4 x 6 = 24.

Question 10

A box has y sweets and 6 are eaten. Write an expression for what is left, then find its value if y = 20.

Accepted Answer

The expression is y - 6. If y = 20, the value is 20 - 6 = 14.

Question 11

A student answers 9 + 6 = __ + 8 by writing 15 in the blank. Explain the mistake and give the right answer.

Accepted Answer

The student read the equals sign as 'write the answer here'. It actually means both sides are worth the same. The left is 15, so the blank must make the right side 15, and since 15 - 8 = 7, the answer is 7.

Practice — Algebra

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