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Pre-Alg Unit 1 Practice - YJHS

Total questions: 10

Worksheet time: 25mins

Name
Class
Date
1.

Jack has $300 in savings and deposits $20 per month. Jose has $440 in savings and deposits $10 per month. Which inequality could be used to find how many months, m, until Jack has more money than Jose? (Assume no $ is withdrawn.)

a)

300−20m<440−10m300-20m<440-10m

b)

300+20m<440+10m300+20m<440+10m

c)

20m+300>10m+44020m+300>10m+440

d)

440+20m>300+10m440+20m>300+10m

2.

What is the first step to solving this equation: 14−(10x−2)=7x14-(10x-2)=7x  

a)

Add 14 to both sides.

b)

Distribute the negative to both 10x and -2.

c)

Subtract 10x from both sides.

d)

Distribute the 14 to both 10x and -2.

3.

SOLVE for  nn  
 23n−9=−39\frac{2}{3}n-9=-39  

a)

 n=−45n=-45  

b)

 n=−30n=-30  

c)

 n=−20n=-20  

d)

The correct answer is not here.

4.

Find the length of one side of the equilateral triangle shown here.

a)

2.5 units

b)

7.5 units

c)

16 units

d)

5 units

5.

SOLVE for c.

 c2+8=c4+5\frac{c}{2}+8=\frac{c}{4}+5 

a)

 c=−6c=-6  

b)

 c=52c=52  

c)

 c=6c=6  

d)

 c=−12c=-12  

6.

Using the Algebra tile model, solve for x.

(Green rectangle = x, Yellow= 1, Red= -1)

a)

x = -5

b)

x = -1

c)

x = 4

d)

x = 6

7.

 Solve for y.

 y−6−3=19\frac{y-6}{-3}=19 

a)

None of these answers are true.

b)

 y=63y=63  

c)

 y=−75y=-75  

d)

 y=−51y=-51  

8.

Hollis and Hudson are reading books. Hollis has already read 45 pages and can read half a page per min. Hudson has already read 22 pages and can read three-fourths of a page per min. Which equation can be used to find the number of minutes until they have read the same amount?

a)

0.75m+45=0.5m+220.75m+45=0.5m+22

b)

45+0.5m=22+0.75m45+0.5m=22+0.75m

c)

45−0.75m=22+0.5m45-0.75m=22+0.5m

d)

None. Hudson cannot catch up to Hollis.

9.

Solve for w.

 6+2(−3w+8)=166+2\left(-3w+8\right)=16  

a)

 w=0w=0  

b)

 w=−27w=-\frac{2}{7}  

c)

 w=163w=\frac{16}{3}  

d)

 w=1w=1  

10.

What is the first step in solving this equation?

 −5a−118=−10\frac{-5a-11}{8}=-10  

a)

Add 11 to both sides.

b)

Multiply both sides by 8.

c)

Divide both sides by -5.

d)

Add 5a to both sides.