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# 2.6: Quiz II

Difficulty Level: At Grade Created by: CK-12
1. What is the translation of three times the difference of five and a number?
1. 35y\begin{align*}3-5y\end{align*}
2. y3×5\begin{align*}y-3 \times 5\end{align*}
3. 3y5\begin{align*}3y-5\end{align*}
4. 3(5y)\begin{align*}3(5-y)\end{align*}
2. What is the translation of the difference of a number and four all divided by two is equal to seventeen?
1. x42=17\begin{align*}x-\frac{4}{2}=17\end{align*}
2. (x4)2=17\begin{align*}\frac{(x-4)}{2}=17\end{align*}
3. (4x)2=17\begin{align*}\frac{(4-x)}{2}=17\end{align*}
4. 4x2=17\begin{align*}4-\frac{x}{2}=17\end{align*}
3. The sum of two consecutive numbers is 63. What is the smallest number?
1. 31
2. 31.5
3. 32
4. 33
4. Four consecutive numbers have a sum of 94. What is the largest number? 4(4.23+1.25h)=5.91\begin{align*}4(4.23+1.25h)=5.91\end{align*}
1. 22
2. 23.5
3. 25
4. 26
5. Which of the following is the solution to the linear inequality? 9(x+7)198\begin{align*}9(x+7) \ge 198\end{align*}
1. x15\begin{align*}x \ge 15\end{align*}
2. x15\begin{align*}x \le 15\end{align*}
3. x22\begin{align*}x \ge 22\end{align*}
4. x22\begin{align*}x \le 22\end{align*}
6. Which of the following is the solution to the linear equation? 2(t+3)>16\begin{align*}-2(t+3) >16\end{align*}
1. t<11\begin{align*}t < 11\end{align*}
2. t<11\begin{align*}t < -11\end{align*}
3. t>11\begin{align*}t > 11\end{align*}
4. t>11\begin{align*}t > -11\end{align*}
7. Which linear inequality will match the number line shown below.
1. n2+16\begin{align*}\frac{n}{2}+1 \ge 6\end{align*}
2. n2+1>6\begin{align*}\frac{n}{2}+1 >6\end{align*}
3. 3(n1)12\begin{align*}3(n-1) \ge 12\end{align*}
4. 3(n1)>12\begin{align*}3(n-1) > 12\end{align*}
8. The students’ council is selling chocolate bars for the big fundraiser. The company knows the school will sell a lot and therefore gives them an initial bonus of $200 to start off their fundraising. For every box of chocolate bars they sell, the school receives 45% of the money. 1. Write a linear equation to represent this scenario. 2. How much money does the school need to raise from selling boxes of bars to make$1500?
9. To play golf at the local country club, you can buy a membership or you can go and pay green fees and simply play for the day. The golf club is selling memberships for the rest of the season to encourage the community to buy memberships. You play golf there all the time. It costs $25 to play 9 holes. To buy a membership for the rest of the season (60 days), it costs$390 plus 10 per visit for mandatory cart rental. How many times would you have to golf in the next 60 days to make it worthwhile to join? 10. Some grey hounds can reach a top running speed of 45 miles per hour. A German Pinscher, on the other hand, only reaches a top speed of 30 miles per hour. If a greyhound is 7.5 miles behind the Pinscher, how long would it take for the greyhound to catch up? ## Answers to Quiz II 1. D 2. B 3. A 4. C 5. A 6. B 7. D 1. m=200+0.45b\begin{align*}m = 200 + 0.45b\end{align*} 2.2889\begin{align*}\2889\end{align*}
8. More than 26 times.
9. 30 minutes

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