Question

1. katie practiced the clarinet for m minutes. her sister practiced 10 minutes less. which expression represents the total time they spent practicing? a) m - 10 b) m + 10 c) 2m - 10 d) 2m + 10 2) what value of x makes x - 4 = -2 a true statement? a) 6 b) 2 c) -2 d) -6 3) a local health club charged $45 for the first month and then $32 membership each month after the first. the table shows the cost to join the health club for up to 6 months. table: months 1,2,3,4,5,6; cost (dollars) 45,77,109,141,173,205 what is the cost to join the health club for 10 months? a) $215 b) $320 c) $333 d) $450 4) ms. bauer noticed that her car’s gas tank is nearly empty. gasoline cost $1.59 a gallon. about how many gallons can she buy with $20? a) 10 b) 30 c) 12 d) 20 5) which point on the graph below represents the ordered pair (4, 3)? graph with points p, m, n, q, e a) m b) n c) p d) q

Explanation:

Step1: Define each person's practice time

Katie's time: $m$ minutes; Sister's time: $m-10$ minutes.

Step2: Calculate total practice time

Total = $m + (m-10) = 2m-10$
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Step1: Isolate $x$ by adding 4

$x = -2 + 4$

Step2: Compute the value of $x$

$x = 2$
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Step1: Identify cost formula for $n$ months

Cost = $45 + 32(n-1)$

Step2: Substitute $n=10$ into formula

Cost = $45 + 32(10-1) = 45 + 32\times9$

Step3: Calculate the total cost

$45 + 288 = 333$
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Step1: Calculate gallons with total money

Gallons = $\frac{20}{1.59} \approx 12.58$

Step2: Round to nearest whole number

$\approx 12$
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Step1: Locate ordered pair $(4,3)$

First coordinate $x=4$, second $y=3$; match to point N.

Answer:

1. c) $2m - 10$
2. b) 2
3. c) $\$333$
4. c) 12
5. b) N