LEAP practice problems 18 GRADED

A group of hikers buys 8 bags of trail mix.  Each bag contains $3\frac{1}{2}$  cups of trail mix.  The trail mix is shared evenly among 12 hikers.  How many cups of trail mix will each hiker receive?

• 4 $\frac{1}{4}$  

• 2 $\frac{3}{8}$  

• 2 $\frac{1}{2}$  

• 2 $\frac{1}{3}$  

A group of hikers will rest after they hike 2 $\frac{3}{4}$   miles. Then they will hike the remaining  1 mile to a scenic lookout. The trail that the hikers will use to return to their starting point is $\frac{1}{2}$  mile shorter than the trail they used to get to the lookout. How many miles will each hiker hike?

• 5 miles

•  $7\$  miles

• 6 miles

•  $6\ \frac{1}{2}$  

A group of hikers went on a 5 miles hike.  Each hiker will bring $\frac{1}{4}$  gallon of water for each mile hiked.  How many total gallons of water will each hiker bring?

•  $\frac{4}{5}$  gallon

•  $1\ \frac{1}{4}$  gallons

•  $\frac{7}{8}$  gallon

•  $1\ \frac{1}{2}$  gallons

Which expression represents "4 less than y"?

• y - 4

• 4 - y

• $y\ \div4$
  

• $4\div y$

Francis scores 3 more than 2 times the number of points 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 equations are true? Select all the correct answers.

• $4\times4\times4\times4\times4=4^5$

• $7\times7\times7\times7=7^4$

• $9\times9\times9=3^9$

• $6\times6\times6=6^3$

• $5\times5=2^5$

Which pair of expressions are equivalent?

• 10(x + 4) and 10x + 14

• 3(x + 5) and 3x + 5

• x + x + x + 1 + 1 + 1 and 3(x + 1)

• x + x + x + x + 1 + 1 + 1 + 1 and 8x

Which expressions are a sum of two terms? Select all the correct answers.

• $2t$

• $\left(2^2\right)\left(x\right)$

• $4+3m$

• $2x+3y$

• $6n+p+2$

Which expressions are equivalent to this expression? 3x + 9 + 3x + 9. Select all expressions that are equivalent.

• 2(3x + 9)

• 2(4x + 16)

• 3(2x + 3)

• 3(2x + 6)

• 6(x + 3)

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

• x=5

• x=3

• x=1

• x=0