EQ & InEQ RSPQ

Equation & Inequality RSPQ

​(remarkably similar practice quiz)

This is your practice test.

Work it as many times as you need to be confident in the problems you will get tomorrow.

​Remember to Ask Questions.

​Writing Equations

​Remember that you are looking at your trigger words.

Multiple Choice

Translate the following sentence into an equation:

The sum of 6 times a number and -5 is -8

• $$6n+\left(-5\right)=-8$$  

• $$6\left(n+\left(-5\right)\right)=-8$$  

• $$6n\ +5=-8$$  

• $$-5n+\left(-6\right)=-8$$  

Multiple Choice

Translate the following sentence into an equations:

Five less than one-half a number is 83

• $$\frac{1}{2}n-5=83$$  

• $$-\frac{1}{2}n+5=83$$  

• $$5-\frac{1}{2}n=83$$  

• $$5n-\frac{1}{2}=83$$  

​Solving Equations

​Ask yourself:

1. ​What is the variable?

2. ​What's happening to the variable?

3. ​What's the opposite?

4. ​Do it (to both sides)

5. ​Is my variable alone?

6. ​Yes - Check your answer

7. ​No. - Go back to step 2.

Multiple Choice

Solve:

$$12+\frac{1}{2}y=2$$  

• $$-20$$  

• $$-5$$  

• $$7$$  

• $$28$$  

Fill in the Blanks

Solve:

$-0.4w=4.2$  

Fill in the Blanks

Solve:

$−4−3d=1d$  

Multiple Choice

Solve:

$$\frac{4}{5}s=-20$$  

• $$s=25$$  

• $$s=16$$  

• $$s=-25$$  

• $$s=-16$$  

​Writing and Solving Equations

• ​When writing two-step equations you will have a term that is constant and a term that is variable (changing).

• Again, look for trigger words. Of means multiply and is means equals.

​Tutorial Video

with ​several examples

Multiple Choice

Julie wants to buy a new cleats that cost $72.50. She has $12 and plans to save $5.50 per week. How many weeks will it take her to save the money?

• 24

• 15 Weeks

• 11 Weeks

• 10 Weeks

​Number of Solutions

Multiple Choice

Solve:

$$6n-10\ =-2n+6$$  

• 2

• 1

• Infinite Solutions

• No Solution

Multiple Choice

Solve:

$$39-2m=5m+4$$  

• Infinite Solutions

• 5

• No Solution

• 1

Multiple Choice

Solve:

$$−4\left(p+5\right)=−40$$  

• $$\frac{45}{4}$$  

• $$5$$  

• No Solution

• Infinite Solutions

Multiple Choice

Solve:

$$8\left(2−q\right)=4\left(q+7\right)$$  

• -3

• -1

• No Solution

• Infinite Solutions

Multiple Choice

Which equation is equivalent to $$y=−5x+6?$$  

• $$-5x+y=6$$  

• $$5x+y=6$$  

• $$-y-6=5x$$  

• $$y=\frac{5}{6}x$$  

Fill in the Blanks

A moving company charges $50 plus $0.07 per mile to rent a moving van. Another company charges $25 plus $0.11 per mile to rent the same van. For how many miles (m) will the cost be the same for the two companies?

The two companies cost the same at

miles.

​Inequalities

​Solving Inequalities: Remember the twist!

Multiple Choice

Solve:

$$−10+d>−8$$  

• $$d>2$$  

• $$d<2$$  

• $$d<-18$$  

• $$d>-18$$  

Multiple Choice

Solve:

$$−12<z−4$$  

• $$z<-8$$  

• $$z>-8$$  

• $$z<-16$$  

• $$z>-16$$  

Multiple Choice

Solve: $$5\ge\frac{v}{4}$$  

• $$v\ge20$$  

• $$v\le\frac{5}{4}$$  

• $$v\le20$$  

• $$v\ge\frac{5}{4}$$  

Multiple Choice

Solve: $$-10\le-2x$$  

• $$x\ge-5$$  

• $$x\ge5$$  

• $$x\le5$$  

• $$x\le-5$$  

​Absolute Value Equations

• ​| absolute value | is a distance and is ALWAYS postive!

• | absolute value | brackets are in the family of parentheses, so you want to get them alone.

• ​Once you have them alone, set the stuff inside | x | equal to both the positive and negative solution and solve.

Multiple Choice

Solve: $$\left|\frac{n}{4}\right|=12$$  

• No Solution

• $$n=\left\{-48,\ 48\right\}$$  

• $$n=\left\{-3,\ 48\right\}$$  

• $$n=\left\{-48,\ 3\right\}$$  

Multiple Choice

Solve:

$$\left|x-5\right|=8$$  

• $$No\ Solution$$  

• $$x=\left\{-3,13\right\}$$  

• $$x=\left\{-13,3\right\}$$  

• $$x=\left\{-13,13\right\}$$  

Poll

Are you ready for your test tomorrow?

Guess what?!

​This "quiz" will be available for you to practice at home! If you are struggling with any of the problem types, make sure you check in with me before we test tomorrow.

​

​You got this!