Common Core Math

Word Problems

100

Three consecutive numbers have a sum of 75. What is the smallest number?

The smallest number is 24.

200

If Austin scores a 78 and 85 on his first two tests, what does he need to score on his third test to average an 87 for all three?

Austin needs to score a 98

300

If the side lengths of a triangle are three consecutive odd numbers, and the perimeter is 51 cm, what is the length of the longest side?

The longest side is 19 cm.

400

Neal wants to buy a puppy. He pays $150 up front and then pays $5 every week after for the next year. How much will he end up paying at the end of the year?

He will pay $410

500

Neal, Austin, and Claire play ball. Austin scores eight more points than Claire, and Claire scores five less than three the number of points as Neal. If they score 89 points total, how many points does Austin score?

42 points

Linear Equations

100

Identify the slope and y-intercept: 6x+3y=18

What is m=-2;b=6

200

X-intercept and Y-intercept: -2x+5y=-20

What is x-intercept=10; y-intercept=-4

300

Solve for x: 

16x-4=4(2x-3)

What is x=-1.

400

What is the slope for the following coordinates?

(-5,3) (5,-3)

Slope=-3/5

500

What is the slope for the following coordinates?

(0,-5) (-3,5)

Slope=-10/3

Systems of Linear Equations

100

What is the standard form for linear equations?

y=mx+b

200

Solve the following equation.

−3x + 3y = 4

 −x + y = 3

No solution

300

What is the answer for this linear system: 

5x+y=4

6x-y=7

What is the answer for this linear system: 5x+y=4, 6x-y=7

400

Equation in standard form of the line that passes through the two given points: (3,9) (1,1)

What is -4x+y=-3

500

solve this equation using elimination.

8x − 6y = −20 

−16x + 7y = 30

(-1,2)

Quadratic Equations

100

what is this equation in standard form?

x² = 3x − 1

x² − 3x + 1 = 0 

200

What is the answer to the following equation?

x² + 3x− 28 = 0

X=-7

x=4

300

What is the answer to the following equation?

4x² -12x=16 

x=4

x=-1

400

what is the answer for Y for the following equation?

3y²-y-4=0

Y=4/3 

Y=-1

500

What is the answer for y for the following equation?

Y²-25=0

y=5

y=-5

Statistics

100

What is the mean of the following numbers?

3 5 6 6 8 9 12 13 16 19 20

10.64

200

What is the mean for the following numbers?

3 7 11 8 5 6 9 9 5 10

7.3

300

What is the median for the following numbers?

3 7 11 8 5 6 9 9 5 10

7.5

400

what is the range for the following numbers?

3 5 6 6 8 9 12 13 16 19 20

17

500

What is the Minimum, Maximum, Median, Q1,Q3 and IQR for the following numbers?

53 39 39 33 69 30 25 67 130 94 40

Min = 25

 Q1 = 33 

Median = 40 

Q3 = 69

 Max = 130 

IQR=36