ASVAB

What is the square root of 25?

5

What is the median of the following numbers? 4, 4, 8, 8, 8, 10, 10, 12, 12

8 Median= middle number

What is the mode of the following numbers? 4, 4, 8, 8, 8, 10, 10, 12, 12

8 Mode= Most of

(3x2)(7-2)(6+2)=(6x4)x What is the value of x?

(6)(5)(8)=24x 6x5=30 30x8 = 240 240=24x Divide each side by 24 just like you would solve for x. 240/24 24x/24= x 240/24=10 x=10

If x=2, then x^x(x^x)=

16 2^2(2^2)= 4(4)= 16

What is the cube of 2?

2x2x2= 8

What is the mean of the following numbers? 4, 4, 8, 8, 8, 10, 10, 12, 12

8.4 mean is all of the numbers added together and then divided by how many numbers are there 4, +4,+ 8,+ 8,+ 8,+ 10,+ 10,+ 12,+ 12=76 76 divided by 9= 8.4

COMBINING LIKE TERMS 5x+3+3x - 6y+4+7y

Break it down by combining one at a time. 5x+3x= 8x 3+4=7 -6y+7y=y Put everything together: 8x+7+y

What does this mean? (inequalities) <

Less than

Which of the following fractions is the smallest? 3/4 14/17 4/7 5/8

Remember the cross multiply method to find the smallest and largest. (Write this one paper to see it visually) take 3/4 and 14/17 and cross multiply them. 3 x 17 = 51 4x 14 = 56 Next take the other two fractions and cross multiply them. 4/7 and 5/8 4 x 8 = 32 7 x 5 = 35 Smallest is the third fraction, 4/7

What does this mean? (inequalities) >

More than

Evaluate this expression: a= -3 x= -7 y= 4 6a-3x-2y

So we know what all of the variable equal. plug all of the numbers in the variables. 6(-3) - 3 (-7) - 2 (4)= -18 + 21 -8 = 5

CHALLENGE: Solve for x: 3(2x-5)-2(4x+1)=-5(x+3)-2

Solve for x: 3(2x-5)-2(4x+1)=-5(x+3)-2 6x- 15- 8x- 2= -5x - 15 - 2 -2x - 17 = -5x - 17 3x - 17= -17 3x=0 x=0

Solve this equation 3x + 4 < 25

Subtract 4 from each side 3x<21 Divide each side by 3 x<7

5!

5x4x3x2x1=120

What is the cube of 5?

5x5x5=125

What is the square root of 49?

7 7x7=49

2 feet, 4 inches + 4 feet, 8 inches. All together, how many feet is that?

7 Feet 2 feet + 4 feet=6 feet 12 inches are in a foot (keep that in mind) 4 inches + 8 inches= 12 INCHES which is an extra foot, so all together you have 7 feet

What is the square root of 64?

8 8x8=64

What is the range of the following numbers? 4, 4, 8, 8, 8, 10, 10, 12, 12

8 Biggest number subtracted by the smallest number. 12-4=8

If x=3, then x(x-x)=

3(3-3)= 3(0)=0

Solve for x 3x + 4 - 4 = 25 - 4

3x + 0 = 21 3x=21 Divide each side by 3 3x/3= x 21/3=7 x=7

3!

3x2x1= 6

What is the cube of 3?

3x3x3= 27

What is the quotient of 4 and 4?

4 / 4 = 1

What is the product of 4 and 4?

4 x 4 = 16

What is the sum of 4 and 4?

4+4=8

4!

4x3x2x1=24

Solve this equation 16x + 4 - 1 < 35

Do the subtraction first 4-1=3 16x + 3 < 35 Subtract the 3 from each side 16x < 32 Divide each side by 16 ** ASK YOURSELF " How many 16's can I get into 32?" x < 2

What does it mean when they have a line underneath? (inequalities) < >

Greater than or equal to Less than or equal to

What the is the product of the square root of 49 and the square root of 36?

Square root of 49 = 7 Square root of 36 = 6 7 x 6= 42

SOLVING QUADRATIC EQUATIONS (Quadratic meaning raised to the second power and then finding the square root) 3x^2 + 4 = 31

Start by subtracting 4 from each side 3x^2= 27 divide each side by 3 x^2 = 9 Then take the square root of each side x= (square root of 9) 3