Algebra 1, Practice Problems from Review (MOAKE/HAWKINS)

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Find the SLOPE of the following line: 2x+6y = 3

-1/3

Solve the Inequalities. -5 < 3x + 1 and 3x + 1 ≤ 4

-2 < X ≤ 1

Use Order of Operations to evaluate the expression 4[10 - 6(3ˆ2 +1)+ X] - 80

-260

Use Order of Operations to evaluate the expression 10-12⋅5 ÷ y ⋅ xˆ2 + 20 when y=6 and x=3

-60

(6Xˆ2 - 30X + 42xˆ3 -12)/-6

-7Xˆ3 - Xˆ2 + 5X -12

simplify or solve -7 (6x-4) + 41x

-x + 28

Find the Slope (6,-8) and (3,-8)

0

The quotient of 17 and f

17/f

What is the Slope of -8x + 4y = 12

2

Round to the nearest tenth: 1. 9732

2.0

Solve the Inequalities. 6<10 - 2x < 14

2> X > -2

Solve the Inequalities. X < 10 - 2X < 14

2>X>-2

The difference of twice a number and 10

2X-10

What is 51% of 67?

34. 17

Use Order of Operations to evaluate the expression 74-4[3⋅(9-4)] + 5ˆ2

39

Four times the quantity six less than y

4(Y-6)

Margaret is collecting money to go to ACL. She needs to collect $5,000 for VIP tickets, and so far she has collected $2550. What percentage of the total amount has Margaret collected?

51%

48 + 2 [ 12 ÷ (2⋅3)]

52

To win the hotdog- eating contest, Galen must eat a total of 75 hot dogs. So far Galen has eaten 30% of the total number of hotdogs. How many hotdogs does Galen HAVE LEFT TO EAT

52.50 hotdogs left to eat

simplify or solve 7x - ( x -2)

6X + 2

Solve this two -step equation and check your answer 7m-11= 60

71/7= M

Lauren wants to buy a season of Greys Anatomy from Ellie. She only has $10 and the season costs $100. Lauren will pay Ellie the $10 she has, and then pay Ellie $10 each week to pay for the season. How much does Lauren owe Ellie after X weeks (Expression)

90- 10X (He already gave her $10 so she owes him ninety, and she owes him less over time)

17 less than the product of 9 and k

9K-17

5 + (X + Z) = (5 +X) + Z

Associative Property of Addition

(11 ⋅ 3) ⋅ 8 = 11 ⋅ (3 ⋅ 8)

Associative Property of Multiplication

5+ X= X+ 5

Commutative Property of Addition

5 ⋅ 6 ⋅ 8 ⋅ 9 = 5 ⋅ 6 ⋅ 9 ⋅ 8

Commutative Property of Multiplication

45 + 0 = 45

Identity property of Addition

12 ⋅ 1 = 12

Identity property of Multiplication

25 + - 25 =0

Inverse property of addition

(1/6) ⋅ 6 = 1

Inverse property of multiplication

What is the first step in solving an absolute value equation

Isolate the absolute value bars

Solve for the literal equation for the variable indicated SOLVE FOR J H- 4/ J = K

J= H- 4/ K

5(P+2) - 2(p-1) ≥ 7P + 4

P ≤ 2

solve the multistep equation 3p-3+2p= 9p + 8 + (- 11)

P= 0

Solve for the literal equation for the variable indicated SOLVE FOR P 2P+5R=Q

P= Q-5R/ 2

Function or Relation {(0,2) (1, -3)(2, -1)(3,2)(2,1)}

Relation

Solve this two-step equation and check your answer s/12 - 9 = -11

S= -24

Find the slope and the Y-Intercept y= 2x + 5

SLOPE: (2) Y- intercept: (0,5)

Find the slope and the Y-Intercept 2x- 5y = 15

SLOPE: (2/5) Y- intercept: (0-3)

Find the slope and the Y-Intercept -3x + 4y - 12= 0

SLOPE: 3/4 Y- intercept: (0,3)

Find the slope and the Y-Intercept X= -3

SLOPE: undefined Y- intercept: none

Find the slope and the Y-Intercept Y= -5

SLOPE: zero Y- intercept: (0,5)

list the three methods to graph a line

T- Table, X and Y Intercepts, and Slope- Intercept

The slope of a vertical line is _________.

Undefined

|3x + 10|≤ 4

X ≤ -2 and X ≥ -14/3

Find the X and Y- Intercepts 2/5X - 1/2Y = 2

X- intercept: (5,0) Y- intercept: (0,-4)

Find the X and Y- Intercepts 2x + 5y = 10

X- intercept: (5,0) Y- intercept: (0,2)

31 is what percent of 101

X= (about) 30. 69%

65 is 30% of what number?

X= 216. 67

3(3x + 1) - (x - 1) = 6(x + 10)

X= 28

solve the multistep equation -6x + 2x - 4 + x = -8x + 2 - 7 + 5x + 1

X= All real Numbers; R

Solve this one-step equation and check your answer -2/3X = 8

X=-12

Solve this one-step equation and check your answer 7X = -49

X=-7

6x + 7 - 2x = 3 + 5x - 9

X=13

6/8=7/2a

a = (about) 4.7

Daniel decided to get a job playing Santa. He earns a base salary of $250 along with $10 per hour. a) Write an expression for the amount of money Daniel has made after X hours. b) How many hours must daniel work to earn AT LEAST $550 c) How many hours must daniel work to earn AT MOST $670

a) 250 + 10X b) X ≥ 30 Hours c) X ≤ 42 Hours

Solve for the literal equation for the variable indicated SOLVE FOR B a/b = c

a/c = b

Solve the porportion -20/28 = n/21

n=-15

Solve this two -step equation and check your answer -9 - p/4 = 5

p= -56

|2p - 4|= 10

p= 7 and p= -3

2|p + 4| - 6 = 8

p=3 and p= -11

234/0 =

undefined

Find the Slope (-2,7) and (-2,-1)

undefined

|x|< 10

x< 10 AND X > -10

2/3 (6x + 18) = -3/4 (8- 4x)

x= -18

0/3 =

zero

The slope of a horizontal line is _________.

zero


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