Alg 1 Review #1: Expressions, Equations & Inequalities

Alg 1 Review #1: Expressions, Equations & Inequalities

Poll

Bellringer: Do you have a DeltaMath account?

• YES!

• NO!

• What's "DeltaMath"?

​What is an "Algebraic Expression"?

​An "algebraic expression" is a mathematical phrase that contains numbers and variables. A variable can be a letter or symbol that is used to represent an unknow quantity.

Multiple Choice

Which expression represents: "the product of 3 and x increased by 5"? 

• 5x - 3

• 3 - 5x

• 3x + 5

• 3x(5)

Multiple Choice

Which verbal expression represents the given expression?  3(4-x)

• four minus the number x divided by 3

• three times four less than a number x

• three times the quantity x less than four

• four subtracted from x times three

Multiple Choice

Simplify the following expression: -6x + 4(-x - 3)

• -2x - 12

• 10x + 12

• -10x - 12

• -2x + 12

Multiple Choice

Evaluate expression x=7, y=15, z=8

xz - 2y + 8

• 30

• 1553

• 34

• 15

Multiple Choice

Evaluate expression if a=3 and b=4

4b-5a

• 2

• 1

• -8

• 8

​What's an "Equation"?

Steps to Solving Linear Equations​

1. Simplify each side of the equation, ​if needed, by distributing or combining like terms

2. Move variables to one side of the ​equation by using the opposite operation of addition or subtraction.

3. Isolate the variable by applying the opposite operation to each side: First, the opposite of addition or subtraction; Second, the opposite of multiplication or division.

4. Check your answer​

Multiple Choice

96 = -3 (4x - 4)

• x = 15

• x = 11

• x = -5

• x = -7

Multiple Choice

51 = 3 (3m + 2 )

• m = 5

• m = -8

• m =9

• m = 7

Multiple Choice

Solve 2x - 3 = 1 

• 3

• 2

• 1

• -2

Multiple Choice

Solve: 2(a + 4) = 2a - 8 + 4a

• 3

• -3

• -4

• 4

Multiple Choice

Three desks and a bookcase together weigh 157 pounds. The bookcase weighs 34 pounds. Which equation could help me find out how much each desk weighs?

• 34 + 3 = 157

• 34x + 3 = 157

• 3x + 34 = 157

• x + 34 = 157

Multiple Choice

Oshgosh would like to buy a new pair of skates for $115. So far he has saved $40. If he earns $7.50 per hour, how could I find out how many hours he must work in order to buy the skates?

• 40 + 7.50x = 115

• 40x + 7.50 = 115

• 40 + 7.50 = 115

• 40 + 17.50x = 115

​What's an "Inequality"?

Multiple Select

When solving the inequality $$-9x>27$$  you must flip the inequality symbol.

• True

• False

Multiple Choice

$$-\infty$$  and  $$\infty$$ are always closed with parentheses ( ) because they represent numbers that continue forever and ever.

• True

• False

Multiple Select

$$x+3>-17$$  

Check all that apply

• $$x>-20$$  

• $$x>-14$$  

• $$\left(-20,\infty\right)$$  

• $$\left(-14,\infty\right)$$  

Multiple Select

$$x+5>8$$  

Select all that apply

• $$x>3$$  

• $$x>13$$  

• $$\left(13,\infty\right)$$  

• $$\left(-\infty,3\right)$$  

• $$\left(3,\infty\right)$$  

Multiple Choice

Write an inequality for the situation below.

The number of students the bus holds, s, is less than 40.

• $$s<40$$

• $$s\le40$$

• $$s>40$$

• $$s\ge40$$

• $$s\ne40$$

Multiple Choice

Multiply Choice.  Solve $$2x+6\ge26$$