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Math Placement Fest

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4

) Drag up the correct symbol to make each statement true.

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\left[\frac{2}{5}:\frac{2}{6},\frac{1}{3}:\frac{2}{3}\right],\left[\frac{5}{8}:\frac{3}{8},\frac{4}{7}:\frac{4}{5}\right]

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Find the sum of

-8x-3

-7x^2+2x+4

1

\begin{array}{rl}2 & x-3 y=-1 \\ y & =x-1\end{array}

n+7

represents an even number, the next larger even number is represented by

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1

n+8

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3

10 n+7

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2

n+9

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4

2 n+7

Make and equation

(-3,-1)(-2,-4)

Find the value of

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15+[(-25)+(-18)]

3\log(5)

\begin{array}{r}\div 141 \\ \hline \quad 3 \\ \hline\end{array}

Find the area of a circle with a circumference of

6

28

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\square

^{2}

Find the area of a circle with a circumference of

31

4

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\square

^{2}

4

197 \mathrm{~m}^{2}

\qquad

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Use the order of operations to solve the following problem:

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(12+5)+32 \times(10-5)=

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Round the number

645

261

to the the ten thousands place:

What is the solution to the equation

\frac{4}{5} x=10

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1

\frac{46}{5}

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2

8

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3

\frac{25}{2}

4

-2

2

8

-2

3

-2

6

Dirsections: Sinclity each pohnomial.

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\text { 7. }\left(2 x^{2}+3 x-2\right)-\left(x^{2}-4 x-1\right)

MULTIPLE CHOICE QUESTION

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Which of the following numbers are integers? (Select all that apply)

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-4.1

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8

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-9 \frac{1}{6}

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1

75

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0

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-22

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Which interval notation represents the set of all numbers from

1

9

, not inclusive?

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[1,9]

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(1,9]

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[1,9)

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(1,9)

Which interval notation represents the set of all number greater than or equal to

-5

-2

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(-5,-2]

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[-5,-2)

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(-5,-2)

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[-5,-2]

Which interval notation represents the set of all numbers greater than

-5

-2

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(-5,-2]

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[-5,-2]

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[-5,-2)

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(-5,-2)

3+5 - 334

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(-30)\div 10

13

. Find the two rational numbers between

\frac{1}{2}

\frac{1}{3}

6 \div 2(2+1)

{-10+6+(+2)}

Select the point which lies in the first quadrant.

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(6,4)

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(5,-5)

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(-6,6)

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(-1,-7)

Select the point which lies in the fourth quadrant.

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(6,-7)

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(3,1)

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(-2,5)

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(-1,-1)

Select the point which lies in the third quadrant.

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(-1,4)

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(4,-4)

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(-7,-2)

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(1,6)

Select the point which lies in the fourth quadrant.

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(1,4)

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(-7,7)

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(8,-6)

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(-5,-2)

Select the point which lies in the fourth quadrant.

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(6,2)

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(2,-4)

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(-6,-5)

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(-5,1)

Select the point which lies in the fourth quadrant.

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(-4,2)

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(-3,-6)

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(2,3)

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(8,-1)

Select the point which lies in the fourth quadrant.

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(3,4)

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(-2,-4)

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(1,-4)

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(-8,2)

Select the point which lies in the second quadrant.

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(2,3)

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(-5,-4)

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(2,-6)

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(-1,1)

Select the point which lies in the second quadrant.

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(-6,7)

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(5,3)

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(-3,-5)

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(7,-4)

Select the point which lies in the fourth quadrant.

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(-3,8)

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(4,8)

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(-7,-6)

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(6,-6)

Select the point which lies in the second quadrant.

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(6,-2)

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(-2,2)

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(-1,-8)

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(2,5)

Select the point which lies in the second quadrant.

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(5,-3)

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(-5,7)

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(-3,-3)

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(5,6)

3 \times\left[\begin{array}{ccc}7 & 5 & -10 \\ 3 & 8 & 0\end{array}\right]

Find the inverse of each matrix.

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4

\left[\begin{array}{cc}-5 & 3 \\ -3 & -4\end{array}\right]

\left[\begin{array}{c}-22 \\ 27\end{array}\right]=\left[\begin{array}{cc}2 & 4 \\ -3 & -7\end{array}\right] Y+\left[\begin{array}{c}-8 \\ 7\end{array}\right]

9[4-7(x-1)]+4[(2 x+5)-7]=11 x-332

x

satisfies the equation

\frac{1}{2}\left(x-\frac{5}{3}\right)=-\frac{13}{3}

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7

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-8

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8

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-7

x

satisfies the equation

\frac{1}{3}\left(x+\frac{5}{6}\right)=-\frac{19}{18}

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-5

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-4

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5

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4

Consider this matrix transformation:

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\left[\begin{array}{ccc} -3 & 2 & 2 \\ 3 & 2 & -1 \\ -3 & 2 & -3 \end{array}\right]

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What is the image of

\left[\begin{array}{c}5 \\ -4 \\ 2\end{array}\right]

under this transformation?

Consider this matrix:

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\left[\begin{array}{cc} -3 & 6 \\ 2 & -5 \end{array}\right]

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Find the inverse of the matrix. Give exact values. Non-integers can be given as decimals or as simplified fractions.

Consider this matrix:

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\left[\begin{array}{cc} -10 & 1 \\ 2 & -1 \end{array}\right]

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Find the inverse of the matrix. Give exact values. Non-integers can be given as decimals or as simplified fractions.

Consider this matrix:

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\left[\begin{array}{cc} 3 & 6 \\ & \\ -10 & -10 \end{array}\right]

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Find the inverse of the matrix. Give exact values. Non-integers can be given as decimals or as simplified fractions.

Consider this matrix:

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\left[\begin{array}{cc} -4 & -8 \\ -5 & -5 \end{array}\right]

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Find the inverse of the matrix. Give exact values. Non-integers can be given as decimals or as simplified fractions.

Consider this matrix:

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\left[\begin{array}{cc} 2 & -8 \\ -2 & 7 \end{array}\right]

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Find the inverse of the matrix. Give exact values. Non-integers can be given as decimals or as simplified fractions.

Consider this matrix:

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\left[\begin{array}{ll} 5 & -3 \\ 6 & -3 \end{array}\right]

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Find the inverse of the matrix. Give exact values. Non-integers can be given as decimals or as simplified fractions.

Consider this matrix:

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\left[\begin{array}{ll} -4 & 2 \\ -6 & 6 \end{array}\right]

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Find the inverse of the matrix. Give exact values. Non-integers can be given as decimals or as simplified fractions.