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Applications Using Linear Models Practice

Practice Applications Using Linear Models questions

Question 1

Veronica made brownies. She made twice as many brownies as Carlos had cookies. Carlos made 90 cookies. How many brownies did she make? Write an equation to describe the problem.

  1. $$\begin{align*}4(90)=x\end{align*}$$
  2. $$\begin{align*}6(90)=x\end{align*}$$
  3. $$\begin{align*}2(90)=x\end{align*}$$
  4. $$\begin{align*}8(90)=x\end{align*}$$

Question 2

The speed Jeff runs is represented with the graph below. The $$\begin{align*}x\text{-}\end{align*}$$axis is the number of hours and the $$\begin{align*}y\text{-}\end{align*}$$axis is the number of miles. Greg runs three times as fast as Jeff. After 5 hours, how far has Greg run?

  1. 7.5 miles
  2. 22.5 miles
  3. 24.5 miles
  4. 15 miles

Question 3

A taxi does not charge a boarding fee but then has a rate of 5 dollars an hour along with a $20 road tax. What expression represents this cab company’s rate for ‘ $$\begin{align*}x\end{align*}$$’ hours?

  1. $$\begin{align*}\frac{x}{5}\end{align*}$$
  2. $$\begin{align*}5x +20\end{align*}$$
  3. $$\begin{align*}\frac5x - 20\end{align*}$$
  4. $$\begin{align*}5+x + 20\end{align*}$$

Question 4

The sum of two consecutive odd numbers is 44. Find the two odd numbers.

  1. 18, 20
  2. 21, 23
  3. 20, 25
  4. 13, 26
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