Module 4 Equations and Expressions

Francis scores 3 more than 2 times the number of points that Riad scores. If r represents the number of points Riad scores, which expression represents the number of points Francis scores?

• 5r

• 6r

• 2r + 3

• 3r + 2

Which expression represents "4 less than y"?

• y - 4

• 4 + y

• y $\div$ 4

• $4\div y$

Which pair of expressions are equivalent?

• $10\left(x\ +\ 4\right)$ and $10x\ +\ 14$

• $3\left(x\ +\ 5\right)$ and $3x\ +\ 5$

• $x+x+x+1+1+1$ and $3\left(x\ +\ 1\right)$

• $x+x+x+x+1+1+1+1$ and $8x$

Which equations are true?

Select ALL the correct answers.

• $4\times4\times4\times4\times4=4^5$

• $7\times7\times7\times7=7^4$

• $9\times9\times9=3^9$

• $5\times5=2^5$

Which expressions are a sum of two terms?

Select ALL the correct answers.

• $2t$

• $\left(2^2\right)\left(x\right)$

• $4+3m$

• $2x+3y$

• $6n+2+p$

Jay sells apples for $1.59 a pound. Which equation models the cost, c, per pound of apples, a?

• $c=1.59\ \times\ a$

• $a\ =\ 1.59\ \times c$

• $c\ =\ a\ \div1.59$

• $a\ =\ 1.59\ \div c$

Consider the set  $y\ =\left\{0,2.3,\ 5,\ 7.1,\ \frac{3}{4}\ \right\}$  . Which values of  $y$  make the inequality  $7>8-y$  true? Select ALL the values that make the inequality true.

•  $y=0$  

•  $y=\frac{3}{4}$  

•  $y=2.3$  

•  $y=5$  

•  $y=7.1$  

 $3x+9+3x+9$  Which expressions are equivalent to this expression?
Select ALL the expressions that are equivalent.

•  $2\left(3x+9\right)$  

•  $2\left(4x+16\right)$  

•  $3\left(2x+3\right)$  

•  $3\left(2x+6\right)$  

•  $6\left(x+3\right)$  

 $x=\left\{5,3,1,0\right\}$  Consider the set. Which value of  $x$  makes  $15-3x=0$  true?

•  $x=5$  

•  $x=3$  

•  $x=1$  

•  $x=0$  

Annie buys some greeting cards. Each card costs $1.75. She pays with a twenty dollar bill. Let n represent the number of greeting cards Annie buys.

Which expression represents the amount of change Annie should receive?

• $20.00\ -1.75n$

• $1.75n\ -\ 20.00$

• $20.00\ -\ 1.75\ -\ n$

• $1.75\ -\ n\ -\ 20.00$