One Step Equations

One Step Equations

REVIEW and Special Cases

Multiple Choice

What is the difference between an expression and equation?

• Expressions have an equal sign and equations do not have an equal sign

• Expressions do not have an equal sign and equations do have an equal sign

• There is not a difference

• Expressions do not have variables and equations have variables

Multiple Choice

What is the inverse operation of addition?

• multiplication

• division

• addition

• subtraction

Since the equation has +2, we use the inverse, -2, to solve for x.

Multiple Choice

What what is the inverse operation of subtraction?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What is the inverse operation of division?

• Division

• Multiplication

• Addition

• Subtraction

Multiple Choice

What is your first step when you solve  x + 5 = 12?

• Add 5 to 5 and add 5 to 5 to 12

• Subtract 5 from 5 and subtract 5 from 12

• Subtract 12 from 12 and subtract 12 from 5

• Add 12 to 12 and add 12 to 5

Multiple Choice

In the equation x + 7 = 12, seven is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 

• Subtract 7 from both sides. The solution is x = 5.

• Add 7 to both sides. The solution is x = 19.

• Multiply both sides by 7 The solution is x = 84.

Multiple Choice

To solve the equation 4p = 16, what needs to be done to both sides to isolate the variable?

• Add 4

• Subtract 4

• Multiply by 4

• Divide by 4

Multiple Choice

Translate the following statement:

5 less than a number is 15.

• x - 5 = 15

• 5 - x = 15

• 15 - x = 5

Multiple Choice

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

• t - 9 = 25

• t + 9 = 25

• 9t = 25

• t/9 = 25

Multiple Choice

What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.

• v - 4 = 10

• v + 4 = 10

• 10 - 4 = v

• Answer not Given

Multiple Choice

Solve: m + 18 = -8

• m = 26

• m = -26

• m = 10

• m = -10

Constant Term Before the Variable Term

Addition is commutative, so change the order.

​-5 + x = -26

​-5 + x = x + -5

x + -5 = x - 5

x - 5 = -26

Multiple Choice

To solve the equation -16 + x = -15, which equivalent expression should replace

-16 + x?

• -16 + x

• x + 16

• x - 16

Multiple Choice

Solve the equation and show your work algebraically:

-16 + x = -15

• 2

• 0

• -1

• 1

Multiple Choice

Solve the equation and show your work algebraically:

18 + a = -50

• a = -950

• a = -68

• a = -32

• a = -50/18

​Variable on the right side of the equal sign

Solve as usual OR move both expression on the opposite side of the equal sign.

​-23 = x + 45

Multiple Choice

Solve the equation and show your work algebraically:

-11 = n - 6

• 17 = n

• -17 = n

• 5 = n

• -5 = n

Multiple Choice

Solve: -9 = 28 + y

• 37 = y

• -37 = y

• 29 = y

• -29 = y

​Negative

Coefficient

To solve, divide both sides by the NEGATIVE coefficient.

​-5x = 45

Multiple Choice

Solve the equation and show your work algebraically:

-5x = 25

• x = 20

• x = -20

• x = -5

• x = 5

Multiple Choice

Solve the equation and show your work algebraically:

Solve: -2s = -38

• s = 76

• s = -76

• s = 19

• s = -19

Multiple Choice

Solve: -7x = 56

• 8 = x

• -8 = x

• 392 = x

• -392 = x

Multiple Choice

Solve the equation and show your work algebraically:

$$17=\frac{c}{-5}$$  

• 85 = c

• -85 = c

• 3.4 = c

• -3.4 = c

Multiple Choice

Solve the equation and show your work algebraically:

35 = 2.5n

• 14 = n

• -14 = n

• 32.5 = n

• 37.5 = n

Multiple Choice

Solve: -1.5y = -13.5

• y = 12

• y = -12

• y = 9

• y = -9

Multiple Choice

Solve the equation: $$\frac{x}{-2}=-4$$  

• 22

• 9

• 8

• 6

Multiple Choice

Solve the equation: $$\frac{x}{-3}=-4$$  

• x = 12

• x = 1

• x = -1

• x = -12

​Fractional

Coefficient

To solve, multiply both sides by the RECIPROCAL of the fractional coefficient.

Multiple Choice

What would be the best first step to solving the equation in one step?

• multiply both sides by ³/₂ 

• divide both sides by 3

• multiply both sides by 3

• subtract ²/₃  from both sides

Multiple Choice

$$-\frac{1}{6}x=\frac{1}{8}$$  

• $$\frac{7}{24}$$  

• $$-\frac{1}{24}$$  

• $$-\frac{3}{4}$$  

• $$-\frac{1}{48}$$  

Multiple Choice

$$-\frac{28}{3}=4\frac{2}{3}x$$  

• $$-\frac{12}{11}$$  

• $$-2$$  

• $$-\frac{14}{3}$$  

• $$-14$$  

MORE PRACTICE

Multiple Choice

$$-\frac{7}{20}=x-\frac{3}{5}$$  

• $$-\frac{7}{12}$$  

• $$\frac{1}{4}$$  

• $$-9$$  

• $$-\frac{19}{20}$$  

Multiple Choice

Solve the equation and show your work algebraically:

$$\frac{a}{-9}=12$$  

• a = -1.3

• a = 1.3

• a = 108

• a = -108

Multiple Choice

$$4\frac{13}{15}=x+3\frac{1}{15}$$  

• $$19$$  

• $$\frac{9}{5}$$  

• $$\frac{73}{46}$$  

• $$\frac{19}{3}$$  

Multiple Choice

Solve the equation and show your work algebraically:

y + 9.3 = -4.2

• y = -13.5

• y = 13.5

• y = 5.1

• y = -5.1