Algebra 1 - Solving Equations

Simplifying expressions and Combining Like Terms

Two-Step Equations

Multi-Step Equations

Random

Parts of an Equation

100

Simplify the following and combine like terms:

3(c+5)+2

3c+17

100

Solve for x:

2x + 3 = 15

(When you see it written 2x that means the same thing as 2*x)

x = 6

WORK

2x + 3 = 15

2x + 3 - 3 = 15 - 3

2x = 12

(2x)/2 = 12/2

x = 6

100

Solve for m:

5 = 5m - 23 + 2m

m =4

WORK
5 = 5m - 23 + 2m
5 = 5m + 2m - 23
5 = 7m - 23
5 + 23 = 7m - 23 + 23
28 = 7m
28/7 = 7m/7
4 = m

100

What is Great Mill's Mascot?

The Hornet!

100

Tell me the slope of the following line

y=-3x+10

The slope is -3.

200

Simplify the following and combine like terms:

-3(x-8)

Answer:

-3x+24

200

Solve for a:

(1/2)a + 5 = 18

a = 26

WORK
(1/2)a + 5 = 18
(1/2)a + 5 - 5 = 18 - 5
(1/2)a = 13
2*(1/2)a = 13*2
a = 26

200

Solve for x:

(x + 4) + 2x = 67

x = 21

WORK
(x + 4) + 2x = 67
x + 2x + 4 = 67 [addition is commutative]
3x + 4 = 67
3x + 4 - 4= 67 - 4
3x = 63
3x/3 = 63/3
x = 21

200

What is our Room Number?

A24

200

What is the y-intercept of the following equation?

y+2=5x

The y-intercept is -2.

300

Simplify the following and combine like terms:

3x²-2x+10-7x+5

Answer:

3x²-9x+15

300

Solve for t:

-t + 8 = 3

t = 5

WORK
-t + 8 = 3
-t + 8 - 8= 3 - 8
-t = -5 [which is the same thing as -1t = -5]
-1t/-1=-5/-1
t = 5

300

Solve for x:

-8(2x - 1) = 36

x = -7/4

WORK
-8(2x - 1) = 36
-16x + 8 = 36 [Distributive Property]
-16x + 8 - 8 = 36 - 8
-16x = 28
-16x/(-16) = 28/(-16)
x = -7/4

300

When are my office hours during Friday?

Must have the time they start and the time they end.

11:00AM-1:00PM

300

Given the following ordered pairs, calculate the slope of their line

(2,4) (4,0)

slope formula=(y₂-y₁)/(x₂-x₁)

The slope is -2.

400

Simplify the following and combine like terms:

3²+2(x+4)

Answer:

2x+17

400

Solve for x:

(x – 7)/3 = -12

x = -29

WORK
(x – 7)/3 = -12
3*((x – 7)/3)= -12*3
x – 7 = -36
x – 7 + 7= -36 + 7
x = -29

400

Solve for x:

3.5 - 0.02x = 1.24

x = 113

WORK
3.5 - 0.02x = 1.24
100*(3.5 - 0.02x) = 1.24*100
350 - 2x = 124 [Distributive Property]
350 - 350 - 2x = 124 - 350
-2x/(-2) = -226/(-2)
x = 113

400

What is the code to access my office hours on Friday?

GMHSTAYLOR

400

We learned three different forms of a line. Tell me the form that the following line is written in.

3x-10y=12

Standard Form.

500

Simplify the following and combine like terms:

5(x-4)+3(x+1)-7(x+2)

Answer:

x-31

500

Solve for x:

-24 = -10x + 3

x = 2.7

WORK
-24 = -10x + 3
-24 - 3= -10x + 3 - 3
-27 = -10x
-27/(-10)=-10x/(-10)
2.7 = x

500

Solve for x:

3x/4 - x/3 = 10

[remember what fractions really look like?]

x = 24

WORK
3x/4 - x/3 = 10
9x/12 - 4x/12 = 10 [write fractions/common denominator]
5x/12 = 10
12*(5x/12) = 10*12
5x/5 = 120/5
x = 24

500

How old is Mr. Taylor?

26 Years Old.

500

Given a line passes through the y intercept of -1, and goes through the points (1,2) and (3,8), what is the equation of the line in slope-intercept form?

y=3x-1