Free Printable Alg 1-Unit 1 Study Guide 21-22(8th period)

1.

Solve for w:

\frac{2\left(w+3\right)}{5}-1=7

a)

$w=17$

b)

$w=40$

c)

$w=\frac{7}{2}$

d)

$w=-\frac{3}{2}$

2.

Solve.

$16-\left(12m+10\right)=-90$

a)

m = 2

b)

m = 8

c)

m = 12

d)

m = 10

3.

Find four consecutive even integers whose sum is 100.

Which equation would give you the answer?

a)

x+(x+2)+(x+4)+(x+6)=100

b)

x+(x+1)+(x+2)+(x+3)=100

c)

x+(x+1)+(x+3)+(x+5)=100

d)

x + x + x + x = 100

4.

Find four consecutive integers whose sum is 62.

Which equation would give you the answer?

a)

x+(x+1)+(x+2)+(x+3)=62

b)

x+(x+2)+(x+4)+(x+6)=62

c)

x+(x+1)+(x+3)+(x+5)=62

d)

x + x + x + x = 62

5.

Which step is incorrect?
Given: 2(-5n+1) = -30 - 2n
Step 1: -10n + 2 = -30 - 2n
Step 2: -8n + 2= -30
Step 3: -8n = 28
Step 4: $n=-\frac{7}{2}$

a)

step 1

b)

step 2

c)

step 3

d)

problem is correct

6.

Solve.

8x +4 = 5x - 14

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

7.

Solve.

8w - 8 = 16 - 4w

a)

w = 8

b)

w = 16

c)

w = 24

d)

w = 2

8.

Solve:

3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

All Real Numbers

d)

x = 0

9.

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

10.

Solve.
$4\left(x+2\right)=2\left(x-3\right)+16$

a)

$x=1$

b)

$x=9$

c)

$x=3$

d)

All Real Numbers

11.

When solving this inequality, would you flip the inequality?

-7x < 21

a)

Yes

b)

No

12.

When solving this inequality, would you flip the inequality?

5x > -35?

a)

Yes

b)

No

13.

Solve.

$-\frac{2}{3}x+4>14$

a)

$x<-15$

b)

$x>-15$

c)

$x<15$

d)

$x>-27$

14.

Solve.

$\frac{1}{3}x-2\le7$

a)

$x\ge27$

b)

$x\le27$

c)

$x\le15$

d)

$x\ge15$

15.

Solve.

3x - 8 < 3(x - 4) + 1

a)

x < -11

b)

no solution

c)

all real numbers

d)

x > -8

16.

Solve.

$3\left(2x-1\right)-4x>-3x+17$

a)

x > 4

b)

$x>\frac{18}{5}$

c)

$x<4$

d)

$x=\frac{18}{13}$

17.

Solve:
$2\left(5x-3\right)\ge15x-36$

a)

A

b)

B

c)

C

d)

D

18.

$6\left(x-1\right)<2x+22$

Which statements about the solution are CORRECT? Select ALL that apply.

a)

7 is a solution to the inequality

b)

3 is a solution to the inequality

c)

10 is a solution to the inequality

d)

-1 is a solution to the inequality

19.

$c=\frac{a+b}{3}$
Solve for a.

a)

a = 3c + b

b)

$a=\frac{c-b}{3}$

c)

a = 3c - b

d)

a = 3c

20.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

21.

Solve the literal equation for the given variable.

a)

$b=\frac{2A}{h}$

b)

$b=\frac{2}{h}$

c)

$b=2Ah$

d)

$b=\frac{Ah}{2}$

22.

$P\ =\ 2\left(l\ +\ w\right)$
$Solve\ for\ l.$

a)

$l=\frac{P}{2w}-2$

b)

$l=\frac{P}{2}-w$

c)

$l=\frac{P+2w}{2}$

d)

$l=2P-w$

23.

Use the equation solved for l in Question #22, to find the length of the rectangle if the perimeter is 64 inches and the width is 10 inches.

a)

l = 22 inches

b)

l = 11 inches

c)

l = 32 inches

d)

l = 21 inches

24.

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write and solve an equation to determine how many games would need to be purchased for the cost to be equal?

a)

150x + 24 = 180 + 20x ; x = $1.57

b)

150 + 24x = 180 + 20x ; x = $7.50

c)

180 - 150 = 24 x + 20x ; x = $0.63

d)

150x + 24 = 180x + 20 ; x = $0.13

25.

Papaya charges $4 per DVD rental and a $10 membership fee. Hutto charges $2 per DVD and a $60 membership fee. Write and solve an inequality to determine for how many DVD rentals Papaya is less than Hutto?

a)

10 + 4d < 60 + 2d ; less than 25 DVD rentals

b)

10 + 4d > 60 + 2d ; more than 25 DVD rentals

c)

10d + 4 < 60 + 2d ; less than 7 DVD rentals

d)

6d < 70 ; less than 11 DVD rentals

Alg 1-Unit 1 Study Guide 21-22(8th period)

Total questions: 25

Worksheet time: 1hrs 22mins

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