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Problem 25

Steve sells twice as many products as Mike. Choose a variable and write an expression for each man’s sales.

Problem 26

Simplify the expression. $$-(-6 y+9 x-7)$$

Problem 27

Evaluate the expression at the given values of x and y $$5 x^{2}+4 y^{2}\( at \)x=-2\( and \)y=-2$$

Problem 32

Simplify the expression. $$-(4 x-8-7 y)$$

Problem 39

Simplify the expression by first using the distributive property to expand the expression, and then rearranging and combining like terms mentally. $$-10 \mathrm{q}-10-(-3 \mathrm{q}+5)$$

Problem 41

The formula $$ d=16 t^{2} $$ gives the distance (in feet) that an object falls from rest in terms of the time \(t\) that has elapsed since its release. Find the distance \(\mathrm{d}\) (in feet) that an object falls in \(\mathrm{t}=4\) seconds.

Problem 43

Simplify the expression. $$-(-3 y-4+4 x)$$

Problem 48

A large children’s organization purchases tickets to the circus. The organization has a strict rule that every 8 children must be accompanied by one adult guardian. Hence, the organization orders 8 times as many child tickets as it does adult tickets. Child tickets are \(8 and adult tickets are \)13. If the total cost of tickets is $1078, how many adult tickets were purchased?

Problem 49

Even numbers. Evaluate the expression 2n for the following values: i) n = 1 ii) n = 2 iii) n = 3 iv) n = ?4 v) n = ?5 vi) Is the result always an even number? Explain.

Problem 50

Odd numbers. Evaluate the expression 2n + 1 for the following values: i) n = 1 ii) n = 2 iii) n = 3 iv) n = ?4 v) n = ?5 vi) Is the result always an odd number? Explain.

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