Math Function Machine

(16-3-4)+(15-15:3)-20:5-8

• 15

• 7

• 5

• N.A

Tags

CCSS.7.NS.A.3

Which of the following is not a function?

Which of the following represents a function?

Tags

CCSS.8.F.A.1

What does the function machine do?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Consider the system of equations 3x + 4y = 0 -3x +-4y = 2 Adding the two equations side-by-side and simplifying yields 0 = 2. Which of the following can be concluded about the system of equations?

• It has a unique solution (2, 0).

• It has exactly two solutions (2, 0) and (0, 2).

• It has infinitely many solutions.

• It has no solution.

Answer explanation

Since both sides of the equation do not equal each other, this is how you can tell that a problem has no solution.

Tags

CCSS.8.EE.C.8B

On a number line, the coordinates of A and B are -3 and b, respectively. If the coordinate of the midpoint M of AB is 5, what is the value of b?

• 12

• 15

• 13

• 4

Answer explanation

If you subtract a point from the midpoint you are able to determine the length of that segment. Midpoint(M) - point of segment (A) = AM

Then use the property of midpoints:

AM=1/2(AxB)

[M is the midpoint of AB]

5-(-3) = 1/2(b-(-3)) [Substitution]

8= 1/2 (b+3)

8= 1/2b + 3/2

multiply both sides of the equation by 2

8x2=2(1/2b) + 2(3/2)

16=b + 3

16-3 = b

13 = b

Tags

CCSS.7.NS.A.1C

A boat travels with the current at 15km/h and travels against the current at 7km/h. What is the speed of the boat in still water, and what is the rate of the current?

• Speed: 15km/h

  Current: 7km/h

• Speed: 13 km/h

  Current: 6 km/h

• Speed: 11 km/h

  Current: 4 km/h

• Speed: 10 km/h

  Current: 5 km/h

Answer explanation

You will need two equations. One that shows the boat's speed with the current, and one that shows the boat speed against the current.

b+c=15(this equation shows the speed of the boat with the current equals 15km/h)

b-c=15(this equation shows the speed of the boat against the current equal 7km/h)

b + c =15

b - c = 7

Use the elimination method to solve for b.

This yields 2b = 22

b = 22/2

b = 11

The boat's speed in still water is 11km/hr.

Plugin 11 km/hr into the first equation and solve for c.

11 + c = 15

c = 15 - 11

c = 4

The rate of the current is 4 km/hr

Tags

CCSS.8.EE.C.8C

Triangle ALK is _________________________ triangle.

• right

• obtuse

• acute

Tags

CCSS.4.G.A.2

Triangle APK is _________________________ triangle

• Right

• Obtuse

• Acute

Tags

CCSS.4.G.A.2

Solve for x.

• 34

• 56

• 42

• 24

Answer explanation

The sum of he measures of the interior angles of a five sided figure is 540 degrees.

4x-13+70+90+2x+10+3x+5=540

Combine like terms

9x+162=540

9x=540-162

9x=378

x=378/9

x=42