Free Printable M2C Midterm MC Review Game

1.

What is the equation for the inverse of $f\left(x\right)=2x-3$

a)

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

b)

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

c)

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

d)

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

2.

What is the equation for the inverse of $f\left(x\right)=\frac{1}{3}x+2$

a)

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

b)

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

c)

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

d)

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

3.

$\sqrt{k^3}$

Write the radical using rational exponents

a)

$k^{-3}$

b)

$k^{\frac{1}{2}}$

c)

$k^{\frac{3}{2}}$

d)

$k^{\frac{2}{3}}$

4.

$\sqrt{x^{11}}$

Write the radical using rational exponents

a)

$x^{\frac{1}{11}}$

b)

$x^{\frac{11}{2}}$

c)

$x^{\frac{2}{11}}$

d)

$x^{-11}$

5.

$\sqrt{20a^3b^4}$ Simplify

a)

$2a^2b^4\sqrt{5a}$

b)

$4a^2b^4\sqrt{5a}$

c)

$2a^2b^2\sqrt{5a}$

d)

$2ab^2\sqrt{5a}$

6.

$\frac{x^2y^2z^{-2}}{x^{-3}y^4z^5}$

Simplify completely with positive exponents

a)

$\frac{x^2y^2}{y^4z^5}$

b)

$\frac{x^5}{y^2z^7}$

c)

$\frac{x^5y^2}{y^4z^7}$

d)

$\frac{x^2y^2z^{-2}}{x^{-3}y^4z^5}$

7.

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

Simplify completely

a)

$x^2-7x+5$

b)

$-x^2-7x+5$

c)

$-x^2+x-1$

d)

$-x^2+x+5$

8.

Write an expression that represents the perimeter of a rectangle whose length is $3x^2+2$ and whose width is $2x^2+1$ . Use the formula

Perimeter = 2(length) + 2(width)

a)

$10x^2+8$

b)

$5x^2+3$

c)

$6x^4+7x^2+2$

d)

$2x^2+8$

9.

$\left(x+2\right)\left(3x^{2\ }-4x+5\right)$ Multiply

a)

$3x^3-x^2+3x+10$

b)

$3x^3-2x^2+3x-10$

c)

$3x^3-2x^2-3x+10$

d)

$3x^3+2x^2-3x+10$

10.

$\left(3x+4\right)\left(3x-4\right)$ Multiply

a)

$9x^2-16$

b)

$9x^2+16$

c)

$9x^2+24x-16$

d)

$9x^2-24x-16$

11.

$\left(2r+4s\right)^2$

Simplify

a)

$4r^2+8rs+16s^2$

b)

$4r^2+16rs+16s^2$

c)

$4r^2+8s^2$

d)

$4r^2+16s^2$

12.

State the transformation needed to get $g\left(x\right)=\left(x-3\right)^2-2$

to $f\left(x\right)=x^2$

a)

right 3, down 2

b)

left 3, down 2

c)

right 3, up 2

d)

left 3, up 2

13.

State the transformation needed to get $g\left(x\right)=-2\left(x+1\right)^2-3$

to $f\left(x\right)=x^2$

a)

right 1, down 3

b)

Reflected, stretched

c)

Reflected, stretched, right 1, up 3

d)

Reflected, stretched, left 1, down 3

14.

Write

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

in standard form

a)

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

b)

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

c)

$f\left(x\right)=-3x^2+2x-15$

d)

$f\left(x\right)=-3x^2+12x-15$

15.

Solve the following

$x^2+2x-8=0$

a)

$x=-2,4$

b)

$x=-4,-2$

c)

$x=-4,2$

d)

$x=2,4$

16.

Solve

$x^2-12x=28$

a)

$x=-2,14$

b)

$x=2,\ 14$

c)

$x=-2,-14$

d)

$x=2,-14$

17.

Solve

$x^2-4x+18=0$

a)

$x=2\pm\sqrt{14}$

b)

$x=2\pm\sqrt{56}$

c)

$x=2\pm\sqrt{14}i$

d)

$x=2\pm\sqrt{56}i$

18.

You deposit $1000 in an account that pays 5% interest. How much money is in the account after 4 years?

a)

$100.65

b)

$814.51

c)

$1,215.51

d)

$5,062.50

19.

You buy a used truck for $22,000. It depreciates at the rate of 10% per year. What is the value of the truck after 4 years?

a)

$22,000.00

b)

$14,434.20

c)

$17,919.14

d)

$22.00

20.

$\sqrt{-50}$

Simplify

a)

$5\sqrt{2}i$

b)

$5\sqrt{2}$

c)

$25\sqrt{2}$

d)

$25\sqrt{2}i$

21.

Simplify $\left(9-2i\right)\left(3+i\right)$

a)

$27+3i$

b)

$29+3i$

c)

$25+3i$

d)

$27-3i$

22.

$x^2-5x=-10$

Find the discriminant and use it to determine the number and type of solutions

a)

Two Real solutions

b)

One Real Solution

c)

Two Complex nonreal solutions

d)

No real nor complex solutions

23.

Write an equation of the circle with center $\left(-2,1\right)$ and radius 3.

a)

$\left(x+1\right)^2+\left(y+3\right)^2=9$

b)

$\left(x-1\right)^2+\left(y-3\right)^2=9$

c)

$\left(x-3\right)^2+\left(y+2\right)^2=9$

d)

$\left(x-1\right)^2+\left(y+3\right)^2=9$

24.

Given the equation for the parabola
$\left(y+2\right)^2=-16\left(x-1\right)$ find the direction the parabola faces and name the vertex.

a)

Opens left, vertex $\left(-2,\ 1\right)$

b)

Opens right, vertex $\left(-2,\ 1\right)$

c)

Opens left, vertex $\left(1,\ -2\right)$

d)

Opens right, vertex $\left(1,\ -2\right)$

25.

Given the equation for the parabola $\left(x-1\right)^2=4\left(y+2\right)$ find the direction the parabola faces and name the vertex.

a)

Opens right, vertex $\left(1,\ -2\right)$

b)

Opens left, vertex $\left(1,\ -2\right)$

c)

Opens up, vertex $\left(1,\ -2\right)$

d)

Opens down, vertex $\left(1,\ -2\right)$

M2C Midterm MC Review Game

Total questions: 25

Worksheet time: 57mins

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