d) 10-36-4-5b e) 2a−2b−4-5+a

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here are the solutions to the problems from the image: 10. Evaluate the expressions using a=−1, b=−2, and n=3 (as implied by the context of problem 11): d) 10 − 3b − 4 − 5b Step 1: Group like terms. 10 − 4 − 3b − 5b Step 2: Combine constant terms and b terms. 6 − 8b Step 3: Substitute b=−2 into the simplified expression. 6 − 8(−2) Step 4: Perform the multiplication and subtraction. 6 − (−16) = 6 + 16 = 22 The answer is 22. e) 2a − 2b − 4 − 5 + a Step 1: Group like terms. 2a + a − 2b − 4 − 5 Step 2: Combine a terms, b terms, and constant terms. 3a − 2b − 9 Step 3: Substitute a=−1 and b=−2 into the simplified expression. 3(−1) − 2(−2) − 9 Step 4: Perform the multiplications. −3 − (−4) − 9 Step 5: Perform the additions and subtractions from left to right. −3 + 4 − 9 = 1 − 9 = −8 The answer is −8. 11. Evaluate the expressions using n=3, a=−1, and b=−2: a) 3n − 5 − n + 9 Step 1: Substitute n=3 into the expression. 3(3) − 5 − (3) + 9 Step 2: Perform the multiplication. 9 − 5 − 3 + 9 Step 3: Perform the additions and subtractions from left to right. 4 − 3 + 9 = 1 + 9 = 10 The answer is 10. b) 2a − 2b − 4 − 5 + a Step 1: Group and combine like terms. 2a + a − 2b − 4 − 5 = 3a − 2b − 9; Step 2: Substitute a=−1 and b=−2 into the simplified expression. 3(−1) − 2(−2) − 9 Step 3: Perform the multiplications. −3 − (−4) − 9 Step 4: Perform the additions and subtractions from left to right. −3 + 4 − 9 = 1 − 9 = −8 The answer is −8.

d) 10-36-4-5b e) 2a-2b-4-5+a

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Step-by-step solution

Part d· 4 steps

Group like terms.

Combine constant terms and $b$ terms.

Substitute $b=-2$ into the simplified expression.

Perform the multiplication and subtraction.

Part e· 5 steps-8

Group like terms.

Combine $a$ terms, $b$ terms, and constant terms.

Substitute $a=-1$ and $b=-2$ into the simplified expression.

Perform the multiplications.

Perform the additions and subtractions from left to right.

Part a· 3 steps10

Substitute $n=3$ into the expression.

Perform the multiplication.

Perform the additions and subtractions from left to right.

Part b· 4 steps-8

Group and combine like terms.

Substitute $a=-1$ and $b=-2$ into the simplified expression.

Perform the multiplications.

Perform the additions and subtractions from left to right.

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d) 10-36-4-5b e) 2a-2b-4-5+a

Answers

Step-by-step solution

Part d· 4 steps

Group like terms.

Combine constant terms and bbb terms.

Substitute b=−2b=-2b=−2 into the simplified expression.

Perform the multiplication and subtraction.

Part e· 5 steps-8

Group like terms.

Combine aaa terms, bbb terms, and constant terms.

Substitute a=−1a=-1a=−1 and b=−2b=-2b=−2 into the simplified expression.

Perform the multiplications.

Perform the additions and subtractions from left to right.

Part a· 3 steps10

Substitute n=3n=3n=3 into the expression.

Perform the multiplication.

Perform the additions and subtractions from left to right.

Part b· 4 steps-8

Group and combine like terms.

Substitute a=−1a=-1a=−1 and b=−2b=-2b=−2 into the simplified expression.

Perform the multiplications.

Perform the additions and subtractions from left to right.

Try one yourself

Still stuck on this one?

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Combine constant terms and $b$ terms.

Substitute $b=-2$ into the simplified expression.

Combine $a$ terms, $b$ terms, and constant terms.

Substitute $a=-1$ and $b=-2$ into the simplified expression.

Substitute $n=3$ into the expression.

Substitute $a=-1$ and $b=-2$ into the simplified expression.