Q: Find the simple interest on a principal of $$18000 at 4.6\%$$ for 2 years. Use $$I = prt.$$

$$I = 18000 \times 0.046 \times 2 = 1656$$

Question 1

Which of the following sets does the number $$\sqrt{9}$$ belong to?

Accepted Answer

Natural, Integer, Rational, Real, Complex

Question 2

Simplify the following expression using the order of operations: $$43 - ( -9 + 2 ) + 18 \div 6 \cdot ( -2 )$$

Accepted Answer

$$43 - ( -7 ) + 18 \div 6 \cdot ( -2 ) = 43 + 7 + ( -6 ) = 50 - 6 = 44$$

Question 3

Which property is illustrated by the equation $$2 + (4 + 5) = (2 + 4) + 5$$?

Accepted Answer

Associative Property

Question 4

Convert $$0.00000096 to $$scientific notation.

Accepted Answer

$$9.6 	imes 10$$^{-7}$$

Question 5

Translate the phrase 'Twelve less than the quotient of two numbers $$x$$ and $$y$$' into an algebraic expression.

Accepted Answer

$$\frac{x}{y} - 12$$

Question 6

Find the simple interest on a principal of $$18000 at 4.6\%$$ for 2 years. Use $$I = prt.$$

Accepted Answer

$$I = 18000 	imes 0.046 	imes 2 = 1656$$

Question 7

Solve for $$x$$: $$2(9 - 4x) = 89$$

Accepted Answer

$$x = -35.5$$

Question 8

Which of the following is the correct interval notation for the solution to $$39 - 5x \u003c -29 + 6x$$?

Accepted Answer

$$(6, \infty)$$

Question 9

Find the distance between $$-20$$ and $$32 on $$the number line.

Accepted Answer

$$| -20 - 32 | = 52$$

Question 10

Given $$T(x) = 2|x| + 39$$, what is $$T(-2)$$?

Accepted Answer

$$2 	imes 2 + 39 = 43$$

Question 11

What is the equation of the line with slope $$-\frac{1}{2}$$ and $$y-$$intercept $$(0, 5)$$?

Accepted Answer

$$y = -\frac{1}{2}x + 5$$

Question 12

Which of the following best describes the relationship between the lines $$2y + 3x = 6$$ and $$4y + 6x = 12$$?

Accepted Answer

Parallel

Question 13

Nicholas has a coin jar with only quarters and dimes. He has 110 coins totaling $16.70. How many quarters does he have?

Accepted Answer

77

Question 14

Matthew made 13 baskets for a total of 31 points, all two- or three-point shots. How many two-point shots did he make?

Accepted Answer

7

Question 15

Which of the following graphs represents a function?

Accepted Answer

A graph where every vertical line crosses the curve at most once

Question 16

Given the function $$f(x) = |x + 3|$$, what is the domain?

Accepted Answer

$$(-\infty, \infty)$$

Question 17

Solve the system of equations: $$x + 2y = -4$$ and $$3x + 2y = 0.$$

Accepted Answer

$$(2, -3)$$

Question 18

Mrs. Davis needs to mix a 25% acid solution and a 40% acid solution to make 10 mL of a 30% acid solution. How much of the 25% solution should she use?

Accepted Answer

6.67 mL

Question 19

Which of the following is the correct scientific notation for $$153$$?

Accepted Answer

$$1.53 	imes 10$$^{2}$$

Question 20

Given the function $$M(x) = 4x + 5$$ and $$T(x) = x^2$ - 2x + 3$$, what is $$(M \cdot T)(0)$$?

Accepted Answer

$$15$$

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