Midterm Review Units 1-5 Math 7

Midterm Review Units 1-5

By Jennifer Robinson

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​Unit 1 Scientific Notation and Ordering Rational Numbers

​Descending Order= Greatest to Least

​Example: ​ 3/4 , 1.25x 10^2, .95

​step 1) convert all numbers to decimals (top/bottom) in Desmos, remove% and move decimals two places left

step 2) rewrite the numbers, add zeros and decimals if appropriate​

step 3) write top to bottom ​

​ 3/4= .75 , 1.25 x 10^2= 125, .95​

125

0.95

0.75​

​step 1) convert all numbers to decimals

​

for fractions (top divided by bottom) in Desmos, Example (1/2 is .50)

​

For percent- remove % and move decimals two places left

Example ( 30% is .30)​

​

step 2) rewrite the numbers, add zeros and decimals if appropriate​

Example 50% is also 0.50​

step 3) write top to bottom ​

​ 3/4= .75 , 1.25 x 10^2= 125, .95​

125

0.95

0.75​

​Unit 2: One step Equations and Evaluating

Multiple Choice

What is the first step to solving a one step equation?

1 + 1a = 8

• Draw a line down the equals sign

• divide

• multiply

• reverse the inequality

Multiple Choice

solve: 3b = 15

• 3

• 5

• 17

• 21

Multiple Choice

solve: 2n= -18

• 7

• 54

• -9

• 9

Evaluating Equations Review

​Substitute the variable in Desmos

Example when p = -4 evaluate the equation type in Desmos 8p -1 on the first line

p= -4 on the second line​

​8(-4) -1 = -33​

make sure you type it in correctly

Multiple Choice

$$when\ p=2\ \ \ \ \ \ \ \ evaluate\ \left|4p-10\right|\ +\ 3p$$  

• 14

• 2

• 8

• 16

Unit 3: Inequalities

Reviewing skills

Step 1: draw a line down the inequality sign >, <,

​Step 2) ​move the number furthest away from the variable first by opposite operation hint *** (not the number by itself)

Step 3) ​if dividing or multiplying by a negative you flip the inequality

always put your variable on the left if written backwards example 3 < b rewrite to b > 3

Draw

Solve the inequality : 1st multiply both sides times 6, add 4 to both sides, divide by 2

Multiple Choice

Solve the inequality

• x is less than or equal to 3

• x is less than or equal to 5

• x is greater than or equal to 8

• x is greater than or equal to 5

Multiple Choice

• x < 8

• x < -8

• x > -8

• x > 8

​Unit 5: Graphing

Key things to remember

Proportional goes through (0,0) the center of the graph, the equation does not have a plus or minus (y= 2x) you have to do y over x to find the slope

Additive- does not go through (0,0) but does have a plus or minus in the equation y= x + 2

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