Midterm Review

The expression 2(21x + 75) represents the monthly tuition and one-time materials fee that Jamie pays for his two children to join a science club. What does the term 21x represent in this situation?

• The one-time materials fee

• The number of children Jamie has

• The monthly tuition

• The total cost

If the expression  $\frac{3^a\cdot2\sqrt{9}}{27\cdot\sqrt{4}}$  is equal to 1, what is the value of a?

• 2

• 1

• 3

• -2

How can you classify the expression  $\frac{1}{4}+\sqrt{3}$  ? Select all that apply.

• Real

• Rational

• Irrational

• Integer

• Whole

How can you classify the expression  $\sqrt{\frac{49}{81}}+\frac{2}{9}$  ? Select all that apply.

• Real

• Rational

• Irrational

• Integer

• Whole

Solve  $2\left(t+4\right)=7+5\left(t-4\right)$  for t.

• 3

• -3

• -7

• 7

Teddy has 23 boxes of juice packed and plans to pack 3 additional boxes each hour. Charley has 7 boxes packed and plans to pack 5 additional boxes each hour. The equation below represents when Teddy and Charley will have packed the same number of boxes, based on x number of hours.

23 + 3x = 5x + 7

After how many hours will Charley have packed the same number of boxes of juice as Teddy?

• 7 hours

• -7 hours

• 2 hours

• 8 hours

A copy center offers its customers two different pricing plans for black and white photocopies of 8.5 in. by 11 in. pages. Customers can either pay $0.08 per page or pay $7.50 for a discount card that lowers the cost to $0.05 per page. Which equation could be used to find the number of photocopies for which the cost of the two plans is the same?

• 0.08x+0.05y=7.50

• 0.08x=7.50+0.05x

• 7.50-0.08x=0.05x

• 0.08x

The graph of the equation  $Ax+3y=48$ passes through the point (–3, 14). What value of A accurately completes the equation?

• 4.07x+3y=48

• -30x+3y=48

• -2x+3y=48

• 2x+3y=48

Millie needs the average height of the plants she is buying to be at least 73 inches. She has selected three plants that are 70, 71, and 72 inches tall. What inequality represents the height of the fourth plant?

• $x\ge73$

• $x\le7$

• $x\ge79$

• $x\le79$

A taxi company charges passengers $1.00 for a ride, and an additional $0.30 for each mile traveled. The function rule C(m)=0.3m+1 describes the relationship between the number of miles m and the total cost of the ride C. If the taxi company charges you $13.00, how far did you travel?

• 40 miles

• 4.9 miles

• 301 miles

• -28 miles