MP 7 Culminating Assessment

Multiple Choice

Simplify the expression: 3x + 2x

• 5x
• x
• 6x
• 5

Multiple Choice

Simplify the expression: 2x + 1 + 7x 

• 10x
• 10
• 9x + 1
• 9 + 1x

Multiple Choice

a + a + a + a

• a + 4 
• 4a 
• a to the fourth power 
• 4a + 4 

Multiple Choice

Simplify the exponential expression:

• 10x^-2
• 2x²
• 2x¹²
• 10x¹²

Multiple Choice

Simplify the exponential expression.

• 2x⁶y¹²
• 2x⁵y⁷
• 8x⁶y¹²
• 8x⁵y⁷

Multiple Choice

5(a + 6)

• 5a + 6
• a + 30
• 5a + 30
• 5a - 30

Multiple Choice

Mult (2x + 3)(3x + 4)

• 6x² + 17x + 7
• 6x² + 17x + 12
• 6x² + 8x + 12
• 6x² + 9x + 12

Multiple Choice

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1
• -2x² - 11x -4
• 2x² + 5x -7
• -2x² + 11x -4

Multiple Choice

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Solving Equations

• Use inverse operation to isolate the variable

• Keep the equation balanced by performing the operation to both sides of the equal sign.

Solve y +14=20

• The inverse operation of addition is subtraction.

• Subtract 14 from both sides of the equal sign

• 20-14=6

• y=6

Multiple Choice

What is the inverse operation of Multiplication?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What is the inverse operation of subtraction?

• addition

• subtraction

• multiplication

• division

Multiple Choice

Solve for x:

• x = 20
• x = 7
• x = 10
• x = 3

Multiple Choice

Solve the equation
3x = 27. 

• x = 24
• x = 81
• x = 9

Multiple Choice

How do we solve -2k = -100?

• multiply by 2 on both sides

• divide by 2 on both sides

• add 100 to both sides

• divide by -2 on both sides

Multiple Choice

What is the first step in this equation?

3x + 5 = 20

• Add 5 and 20

• Subtract 5 from both sides of the equation

• Add 3 and 5

• Multiply 3 by 5

Multiple Choice

Solve -5t + 9 = 24

• -3

• 3

• 12

Multiple Choice

2 (n + 5) = -2 The first step in solving the following equation is ____________

• add five to both sides

• distribute 2 to all terms in the parenthesis

• add 2

Multiple Choice

144 = -12(x+ 5)

• -7

• -17

• 14

Multiple Choice

Solve for k:
3k + 5 = 23

• k = 4
• k = 5
• k = 6
• k = 7

Absolute Value Equations

What We Know

• absolute value is the distance from 0

• distance always has to be positive

• there are almost always 2 solutions

• if an absolute value = 0, there's only 1 solutions

• if an absolute value = a negative number, then there is no solution

Multiple Choice

$$\left|x\right|=\ -\ 5$$  

• 5

• -5

• 5 or -5

• no solution

Multiple Choice

$$\left|x\right|\ =\ 6$$  

• 6

• -6

• 6 or -6

• no solution

The equation |X-5|=2

Notice that we have setup two equations. Both equations have the absolute value symbols removed. But one of them has the value switched to a negative. This is how we find out the distance, one going left and one going right from our starting point on a number line. We solve both equations by isolating the variable, just like we have done before. Both equations are solved by adding 5 to both sides. We have our two answers for X; X=7, X=3.

Multiple Choice

Solve for x
l 4x−3 l = 17

• x = 5 and x =-3.5
• x = 0 and x = -5
• x = 10 and x = -10
• No Solution

Multiple Choice

−2|−2r − 4| = -12

• x = 5 and x = 1

• x = -5 and x = -1

• x = -5 and x = 1

• No Solution

Slope Intercept Form, y = mx + b

the "slope intercept form" of a line is a convenient way to identify the slope and y - intercept (the point where the line and y axis intersect)

Multiple Choice

$$What\ is\ the\ slope\ of\ the\ following\ equation\ y\ =\ -3x\ +\ 2$$  

• 1/3

• 3

• -3

• 2

Multiple Choice

What is the equation of a line with a slope of 2 and a y-intercept of -5?

• y = 5x - 2

• y = 2x - 5

• y = -2x - 5

• y = 2x + 5