Algebraic Expressions and Exponents Review

How many coefficients are in the expression ?

 $5x^3\ -\ 2x\ +\ 6x\ -\ 4$  

• 1

• 2

• 3

• 4

Mila’s dog weighs 4 pounds more than 8 times the weight of Keiko’s dog. What expression could be used to find the weight of Mila’s dog?

• $8k\ +\ 4\$

• $4k\ +\ 8$

• $4\left(8k\right)$

• $4\ +\ 8\ +k$

Write an algebraic expression for:

Five less than twice a number

• $\left(5-x\right)^2$

• $2x\ -\ 5$

• $5\left(x\ +\ y\right)$

• $5-2x$

Write an algebraic expressions for:

Five times the sum of two numbers

• $5x\ +\ 2y$

• $\left(5+\ x\right)^2$

• $5\left(x\ +y\right)$

• $2x\ +\ 5y$

Write an algebraic expression for:

The difference of 5 and a number, squared

• $\left(5\ -\ x\ \right)^2$

• $\left(5\ +\ x\right)^2$

• $5^2-x$

• $5^2+x$

Which of these expressions equal 15 when

 $x\ =\ \frac{1}{2}\ \ and\ \ y\ =\ 3\ ?$  
Select all that apply

•  $xy\ +\ 3\ \frac{1}{2\ }\ +\ 20x$  

•  $\frac{9}{y}\ +\ 14x^2$  

•  $4x^2\ \ +\ \ 2y^3\ -10$  

•  $4\left(2y\ -4x\right)\ -\ 1$  

Tom's cucumber garden is 4 square feet less than twice the size of the tomato garden. Tom divides the cucumber garden into thirds to share with his brother. Which expression represents the total area of the cucumber garden given to each brother? If the tomato garden is 123.5 square feet, how many square feet did each brother receive?

• $\frac{4\ -\ 2g}{3}\ ;\ \ 245\ \frac{2}{3}\ square\ feet$

• $\frac{2g\ -4}{3}\ ;\ 81\ square\ feet$

• $\frac{2g\ -\ 4\ }{3}\ ;\ 245\ \frac{2}{3}square\ feet$

• $\frac{4-2g}{3}\ ;\ 81\ square\ feet$

Sue's farm is 4 square miles more than three times the size of Joe's. Sue shares half her farm with her sister. Which expression represents the size of Sue's farm? If Joe's farm is 2 square miles, how many square miles does Sue share with her sister?

• $\frac{4\ +\ 3j}{2}\ ;\ 12.5\ square\ miles$

• $\frac{3j\ +\ 4}{2}\ ;\ 5\ square\ miles$

• $\frac{4\ +\ 3j\ }{2}\ ;\ 5\ square\ miles$

• $\frac{3j\ +\ 4\ }{2}\ ;\ 12.5\ square\ miles$

Keenan gives Tisha half of his strawberries. Tisha keeps 4 of the strawberries she got from Keenan and gives the rest to Suvi. Write an expression for the number of strawberries Tisha gives to Suvi. Use k for the number of strawberries Keenan had when she started. 

•  $4\ -\ \frac{1}{2}k$  

•  $\frac{1}{2}k\ -\ 4\$  

•  $4k\ -\frac{1}{2}$  

•  $\frac{1}{2}-\ 4k$  

 Jason paints  1/4  of the area of his living room walls, w, on Monday. On Tuesday, he paints twice as much as he painted on Monday. Jason's living room has 210 square feet of wall.  Using the expression  $\frac{1}{4}w$  , how much wall is left to paint?

• 210 square feet

• 105 square feet

• 55 square feet

• 52.5 square feet