Let’s go through each problem one by one. The task is to turn each verbal phrase into an algebraic expression — that means using numbers and math symbols (like +, -, ×, ÷, exponents) to write what the words say.
We’ll do this step by step:
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1) 12 decreased by 8
→ “Decreased by” means subtract.
So:
12 - 8
2) 23 minus 17
→ “Minus” means subtract.
So:
23 - 17
3) 7 squared
→ “Squared” means raise to the power of 2.
So:
7²
4) 6 less than 11
→ “Less than” means subtract the first number from the second.
So:
11 - 6
5) 2 cubed
→ “Cubed” means raise to the power of 3.
So:
2³
6) 7 to the 2nd
→ Same as “squared”.
So:
7²
7) the quotient of 10 and 5
→ “Quotient” means division.
So:
10 ÷ 5
8) the product of 12 and 8
→ “Product” means multiply.
So:
12 × 8
9) the difference of 24 and 17
→ “Difference” means subtract.
So:
24 - 17
10) 14 decreased by 6
→ “Decreased by” means subtract.
So:
14 - 6
11) the difference of 25 and 24
→ Subtract.
So:
25 - 24
12) 17 less than 23
→ “Less than” means subtract the first from the second.
So:
23 - 17
13) 8 to the 2nd
→ Squared.
So:
8²
14) the quotient of 18 and 3
→ Division.
So:
18 ÷ 3
15) 4 cubed
→ Raise to power 3.
So:
4³
16) the product of 10 and 9
→ Multiply.
So:
10 × 9
17) the sum of 3 and 10
→ “Sum” means add.
So:
3 + 10
18) 25 minus 23
→ Subtract.
So:
25 - 23
19) half of 16
→ Half means divide by 2.
So:
16 ÷ 2
20) 13 minus 6
→ Subtract.
So:
13 - 6
21) the sum of 2 and 7
→ Add.
So:
2 + 7
22) the 2nd power of 6
→ Same as squared.
So:
6²
23) 21 minus 5
→ Subtract.
So:
21 - 5
24) twice 7
→ “Twice” means multiply by 2.
So:
2 × 7
25) 2 plus 5
→ Add.
So:
2 + 5
26) 17 decreased by 11
→ Subtract.
So:
17 - 11
27) 11 less than 12
→ Subtract 11 from 12.
So:
12 - 11
28) 8 less than 10
→ Subtract 8 from 10.
So:
10 - 8
29) the sum of 6 and 11
→ Add.
So:
6 + 11
30) 10 less than 20
→ Subtract 10 from 20.
So:
20 - 10
31) the difference of 20 and 8
→ Subtract.
So:
20 - 8
32) 11 increased by 7
→ “Increased by” means add.
So:
11 + 7
33) 40 divided by 8
→ Division.
So:
40 ÷ 8
34) 25 decreased by 18
→ Subtract.
So:
25 - 18
35) 6 less than 20
→ Subtract 6 from 20.
So:
20 - 6
36) 4 to the 2nd
→ Squared.
So:
4²
37) 3 less than 16
→ Subtract 3 from 16.
So:
16 - 3
38) 5 increased by 9
→ Add.
So:
5 + 9
39) the product of 3 and 10
→ Multiply.
So:
3 × 10
40) the 2nd power of 4
→ Squared.
So:
4²
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✔ All expressions are now written correctly using algebraic notation.
Final Answer:
1) 12 - 8
2) 23 - 17
3) 7²
4) 11 - 6
5) 2³
6) 7²
7) 10 ÷ 5
8) 12 × 8
9) 24 - 17
10) 14 - 6
11) 25 - 24
12) 23 - 17
13) 8²
14) 18 ÷ 3
15) 4³
16) 10 × 9
17) 3 + 10
18) 25 - 23
19) 16 ÷ 2
20) 13 - 6
21) 2 + 7
22) 6²
23) 21 - 5
24) 2 × 7
25) 2 + 5
26) 17 - 11
27) 12 - 11
28) 10 - 8
29) 6 + 11
30) 20 - 10
31) 20 - 8
32) 11 + 7
33) 40 ÷ 8
34) 25 - 18
35) 20 - 6
36) 4²
37) 16 - 3
38) 5 + 9
39) 3 × 10
40) 4²
Parent Tip: Review the logic above to help your child master the concept of verbal expression for algebraic expression.
