(61) Midterm Review (Fall22)(A2)

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

•

A2.FBF.3

Standards-aligned

Jesus Molina

FREE Resource

1 Slide • 82 Questions

MMA-Midterm review

Multiple Choice

Name this Function:

Linear

Quadratic

Absolute Value

Cubed Root

Multiple Choice

Name this Function:

Constant

Quadratic

Absolute Value

Cubed Root

Multiple Choice

Name this Function:

Constant

Quadratic

Square Root

Cubed Root

Multiple Choice

The name of all the possible inputs of a function:

Domain

Range

Multiple Choice

The name of all of the possible outputs of a function:

Domain

Range

Multiple Choice

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

$y=-\left|x-15\right|-3$

$y=-\left|x+15\right|-3$

$y=\frac{1}{2}\left|x+3\right|-15$

$y=\frac{1}{2}\left|x-3\right|-15$

$y=\left|-x-15\right|-3$

Multiple Choice

Describe the transformation of the equation below from the absolute value parent function $y=-2\left|x-3\right|+3$

reflected over x axis, stretched by 2, right 3, up 3

reflected over x axis, stretched by 2, left 3 up 3.

reflected over x axis, shrunk by 2, right 3, up 3

reflected over the x axis, shrunk by 2, left 3, up 3

Multiple Choice

What is the Range?

y ≥ 6

$-\infty<y\le6$

-10 ≤ y ≤ 6

-10 ≤ x ≤ 6

Multiple Choice

What is the Domain?

y ≥ 6

$-\infty<x<\infty$

-10 ≤ y ≤ 6

-10 ≤ x ≤ 6

Multiple Choice

What is the DOMAIN?

[0, ∞)

(-∞, 0)

All real numbers

{0, 1, 2, 3, 4,...}

Multiple Choice

What is the RANGE?

(-∞, 0)

(0, ∞)

All real numbers

{0, 1, 2, 3, 4,...}

Multiple Choice

What is the RANGE?

all real numbers

[1, ∞)

(-∞, 1]

none of these

Multiple Choice

(-∞, ∞)

[-2, 2]

(-2, 2)

[-5, 5]

Multiple Choice

Name the parent function and describe the transformation.

$f\left(x\right)\ =\ \frac{1}{2}\left(x-6\right)^3\ +\ 4$

Quadratic function vertically compressed by 1/2, shifted right 6 and up 4

Quadratic function vertically stretched by 2, shifted right 6 and up 4

Cubic function vertically compressed by 1/2, shifted right 6 and up 4

Quadratic function vertically stretched by 2, shifted right 6 and up 4

Multiple Choice

What is the parent function and the transformed equation for the graph shown?

Parent: $f\left(x\right)\ =\ \sqrt[]{x}$

New Function:

$f\left(x\right)\ =\ \sqrt[]{x\ -\ 1}\ +\ 2$

Parent: $f\left(x\right)\ =\ \left|x\right|$

New Function:

$f\left(x\right)\ =\ \left|x-\ 1\right|\ +\ 2$

Parent: $f\left(x\right)\ =x^3$

New Function:

$f\left(x\right)\ =\ \left(x-1\right)^3\ +\ 2$

Parent: $f\left(x\right)\ =\ \sqrt[]{x}$

New Function:

$f\left(x\right)\ =\ 4\sqrt[]{x\ +\ 1}\ +\ 2$

Multiple Choice

Choose the equation that best matches the graphed function.

$f(x)=|x|+2$

$f(x)=|x|-2$

$f(x)=-|x|$

$f(x)=-|x|+2$

Multiple Choice

Describe the transformation

left 2 up 5

right 2 up 5

left 2 down 5

right 2 down 5

Multiple Choice

Describe the transformation from the parent graph

Reflect over x, right 3, down 4

Reflect over y, right 3, down 4

Reflect over x, right 3, up 4

Reflect over y, left 3, down 4

Fill in the Blanks

Solve for y.

$-9+7y+1=10+10y$

Type answer...

Fill in the Blanks

Solve for b.

$-12b-8-18=-5\left(3b+1\right)$

Type answer...

Fill in the Blanks

Solve for n.

$-4-\frac{2}{3}\left(n+9\right)-2=\frac{5}{2}\left(4-n\right)$

Type answer...

Fill in the Blanks

Solve for x.

$\frac{9}{4}\left(8x-4+\frac{4}{3}x\right)=2-x$

Type answer...

Multiple Choice

Solve $-2\left(-7+x\right)+20\ge-32$ on your paper before answering questions.

What is the first step on your paper?

Multiply -2 times -7 and x.

Subtact -2 from -7.

Subtract 20 from each side.

Add 2 to both sides.

Multiple Choice

Which figure shows the inequality x > -4?

Figure 1

Figure 2

Figure 3

Figure 4

Multiple Choice

Which inequality is represented by the words " more than"?

≤

≥

Multiple Choice

Which inequality is represented by the words " at least"?

≤

≥

Multiple Choice

solve 5( 6 + 3r) + 7 ≥ 127

r ≤ 6

r ≥ 6

r ≤ -6

r ≥ -6

Multiple Choice

Solve 28 − k ≥ 7(k − 4)

k ≥ -7

k ≤ -7

k ≥ 7

k ≤ 7

Multiple Choice

Solve:
7(x + 3) < 5x + 13

x > -4

x < 17

x < -4

x > -17

Multiple Choice

Find the inverse of f(x) = -4x - 12

f^-1(x) = 4x - 3

f^-1(x) = -1/4x - 3

f^-1(x) = 1/4x + 3

f^-1(x) = -4x - 3

Multiple Choice

Find the inverse of
f(x) = 1/4x - 7

f^-1(x) = 4x + 7

f^-1(x) = -4x + 28

f^-1(x) = -4x - 7

f^-1(x) = 4x + 28

Multiple Choice

Inverse Functions

Not Inverse Functions

Multiple Choice

$f\left(x\right)=\frac{6x}{5}+3$ Find $f^{-1}\left(x\right)$

$\frac{5x-3}{6}$

$\frac{5\left(x-3\right)}{6}$

$\frac{5x}{6}-3$

$\frac{5x}{6}+3$

Multiple Choice

Find the inverse of $f(x)=10+7x$

$f^{-1}(x)=\frac{x-7}{10}$

$f^{-1}(x)=\frac{x-10}{7}$

$f^{-1}(x)=\frac{1}{10+7x}$

Multiple Choice

If $f\left(x\right)=-2x+3$ and $g\left(x\right)=-3x+2,$ find $f\left(2\right).$

$-1$

$3$

$-4$

$2$

Multiple Choice

If $f\left(x\right)=-2x+3$ and $g\left(x\right)=-3x+2,$ find $g\left(-3\right).$

$17$

$13$

$-13$

$11$

Multiple Choice

If $f\left(x\right)=-2x+3$ and $g\left(x\right)=-3x+2,$ find $f\left[g\left(x\right)\right].$

$-x+1$

$-2x^2$

$6x-1$

$5x+7$

Multiple Choice

If $f\left(x\right)=x^2-1$ and $g\left(x\right)=4x-3,$ find $f\left(2\right).$

$\frac{2}{3}$

$-5$

$6$

$3$

Multiple Choice

If $f\left(x\right)=x^2-1$ and $g\left(x\right)=4x-3,$ find $\left[f\circ g\right]\left(3\right).$

$43$

$91$

$80$

$26$

Multiple Choice

If $f\left(x\right)=x^2-2,$ $g\left(x\right)=x+9$ and $h\left(x\right)=-3x,$ find $h\left[f\left(g\left(-2\right)\right)\right].$

$-123$

$-141$

$-165$

$134$

Multiple Choice

Solve the following inequality:

| x − 2 | > 3

2 < x < 10

x < 2 or x > 10

−1 < x < 5

x < −1 or x > 5

Multiple Choice

Solve the following inequality:

| 2w − 1 | < 11

No Solution

All Real Numbers

−5 < w < 6

−6 < w < 5

Multiple Choice

Solve the following inequality:

−5|x − 4| > −20

x < 8 and x > 0

x > 8 or x < 0

all real numbers

no solution

Multiple Choice

What is the vertex of the following function? $y=|x-3|+1$

$(2,3)$

$(-3,1)$

$(2,-3)$

$(3,1)$

Multiple Choice

Solve for x
l 2x−1 l = 9

x = 5 and x =-4

x = 5 and x = -5

Only x = 5

No Solution

Multiple Choice

Solve for x
l x−6 l + 4= 10

x = 12 and x = 0

x = 3 and x = -3

x = -12 and x = 0

No Solution

Multiple Choice

Solve for x
3 l 4w−1 l −5 = 10

x = 1.5 and x =-1

x = -1.5 and x = 1

x =1 and x = -1

No Solution

Multiple Choice

What is the value of the x-coordinate to the solution to this system of linear equations?

2x + 3y = 15 and -x + 3y = 3

-3

Multiple Choice

What is the value of the y-coordinate in this system of linear equations?

6x + 10y = -32 and 6x + 9y = -27

y = 5

y = 0

y = -5

y = 1

Multiple Choice

solve by substitution: y=3x+14
y=-4x

y=3

y=1

y= - 2

y=4

Multiple Choice

What is the solution to this system of equations?

(4, -1)

(-1, 4)

(-4, 1)

(-4, -1)

Multiple Choice

Solve the system given:
3x - y = 7
2x + y = 3

(-1,2)

(5,4)

(4,5)

(2,-1)

Multiple Choice

Solve the system.

(3, -2, 4)

(2, -3, 1)

(-3, 2, -1)

Infinitely many solutions

Multiple Choice

Solve the system.

(2, -2, 3)

(2, 1, 4)

(-2, 2, -3)

No Solution

Multiple Choice

Solve the system.

(5, -6, 3)

(2, 3, -1)

(-4, 2, 5)

No Solution

Multiple Choice

Determine the solution to the given linear-quadratic function.

(0, 0)

(3, 0)

(2, -3)

(-3, 2)

Multiple Choice

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

(-4, 2) and (-1, 5)

(-4, -1) and (2, 5)

(2, -1 and (-4, 5)

(-4, 1) and (2, -1)

Multiple Choice

Determine the number of solutions to the given linear-quadratic system.

0 solutions

1 solution

2 solutions

3 solutions

Multiple Choice

Find the solution.

(2,3) and (3,4)

(-3,-15) and (4,-8)

(-3,10) and (8,4)

(-8,3) and (-4,10)

Multiple Choice

How many solutions does this system of equations have?

one solution

two solutions

no solution

infinitely many solutions

Multiple Choice

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

-32

-3

-12

Multiple Choice

$Given\ h\left(x\right)=3x^2-2x+8\ what\ is\ h\left(2\right)?$

answer not here

Multiple Choice

$\left(n^3-3n-5n^2\right)+\left(n^2+3+2n^3\right)$

$-n^3-4n^2+n+3$

$3n^3-4n^2+n+3$

$2n^3-4n^2+n+3$

$3n^3-4n^2-3n+3$

Multiple Choice

$\left(4m-4m^3+m^2\right)-\left(m^3-5-2m\right)$

$-5m^3-2m^2+6m+9$

$-5m^3+m^2+6m+9$

$-5m^3-2m^2+m+9$

$-5m^3+m^2+6m+5$

Multiple Choice

(4x - 1)(5x−2)

20x² + 3x − 2

20x² − 11x + 5

20x² − 13x + 2

20x² − 3x − 2

Multiple Choice

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

3y³+ 7y²- 4y + 3

4y² + 3y³ - y + 3

-y⁴ + 2y³-y - 4

4y³+ 3y²-3y + 1

Multiple Choice

Divide

$\frac{10x^8y^5}{4x^2y^5}$

$6x^6y$

$\frac{5x^6}{2}$

$\frac{5x^6y}{2}$

$6x^6$

Multiple Choice

Divide

$\frac{-4a^{7\ }-\ 6a^5}{2a^3}$

$2a^{4\ }+3a^2$

$4a^{4\ }-\ 4a^2$

$-2a^{7\ }-\ 3a^5$

$-2a^{4\ }-3a^2$

Multiple Choice

Divide

$\frac{-20p^2-16p}{-4p}$

5p²- 16p

5p + 4

5p - 4

5p + 4p

Multiple Choice

Factor
d² - 10d + 25

(d + 5) (d - 5)

(d - 15) (d + 10)

(d + 5) (d - 20)

(d - 5) (d - 5)

Multiple Choice

Factor:x²- 25

( x + 5 ) ( x - 5 )

( x - 5 ) ( x - 5 )

( x + 5 ) ( x + 5 )

Prime

Multiple Choice

Factor completely: 2x²+22x+60

(2x+10)(x+6)

(x+5)(x+6)

2(x+1)(x+30)

2(x+5)(x+6)

Multiple Choice

Factor completely.

$2x^2-3x-14$

$\left(x+7\right)\left(2x-3\right)$

$\left(2x+2\right)\left(x-7\right)$

$\left(2x-7\right)\left(x+2\right)$

$\left(x-14\right)\left(x+1\right)$

Multiple Choice

Factor Completely

$x^2-49$

$\left(x+7\right)\left(x-7\right)$

$7\left(x-7\right)$

$\left(x-7\right)\left(x-7\right)$

$x\left(x-7\right)$

Multiple Choice

(3 + 2i) + (4 - 5i)

7 + 7i

1 - 3i

1 - 7i

7 - 3i

Multiple Choice

(-7 + 9i) + (2 - 10i)

-5 + i

-5 - i

-9 + 1

9 - i

Multiple Choice

(4 - 2i) - (3 + 6i)

7 - 4i

1 + 4i

1 - 8i

7 - 8i

Multiple Choice

The expression (2 + 3i)² is equal to

-5

-5 + 12i

13 + 12i

Multiple Choice

Multiply
(2i)(3i)

-5

-6

Multiple Choice

Simplify $\sqrt[]{-1}$

$\pm1$

1 + i

Multiple Choice

$i^9$

$i$

$-i$

-1

Multiple Choice

$i^6$

$i$

-1

$-i$

MMA-Midterm review

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