Unit 1- Linear Equations and Inequalities

ORDER OF OPERATIONS

100

The order of operations

What is PEMDAS

200

Solve 5 X 4-3+2

19

300

Solve 8-2²+(7-10)

1

400

Solve 10-(-11 X 3)+(6-4)³

51

500

Solve 8 X 3 / 4 -2(7²)

-92

EXPONENTS/ IS THIS TRUE

100

What is the base and exponent of -9⁵

base 9 exponent 5

200

what is the difference between -9² and (-9)²

-9² = -81 and (-9)² = 81

300

Is this true |6-9| = |6| - |9| (correct it if it is wrong)

No! It should be |6-9| = |9| - |6|

400

Is this true |9x5| = |9| x |5|

True

500

Solve (-2)⁴+4⁵

1040

WHAT IS THIS?

100

3x+9=3x+9

Identity

200

10x+7=10x+4

Contradiction

300

3x+9=47

Conditional

400

4(2x+9) = 8x+17

Contradiction; No solution

500

5(x+1)=2x+11

Conditional; {2}

SOLVE FOR THE VARIABLE

100

x=yz solve for z

x/y = z

200

zt+3=y solve for t

t= y-3/z

300

7b+k-9=x solve for b

b= (x+9-k)/7

400

p=2l+2w solve for l

l= (p-2w)/2

500

A=(1/4)bh solve for b

b= 4A/h

SOLVE THE EXPRESSION

100

Solve |x-3|=9

x=-6 and x=12

200

Solve 5<2x+4<36

1/2<x<16

300

Solve |4x+7|=|3x+2|

x=-5 and x=-9/7

400

Solve |3x+2|<5

-7/3<x<1

500

Solve |5x+1|>12

x>11/5 or x<-13/5