MAT 151 Final Review

MAT 151 Final Exam REVIEW

Some text here about the topic of discussion

​Exam Break Down

• Week 4- Scientific Notation (07) 23.3%

• Week 5- Slope (10) 33.3%

• Week 6- Word Problems (10) 33.3%

• Week 7- Finance (03) 10.3%

Multiple Choice

Simplify the expression using the properties of exponents.

m ⋅ m⁵ ⋅ m⁶

• m³⁰

• m¹²

• 12m

• mm¹¹

Multiple Choice

Simplify the expression using the properties of exponents.

$$\frac{t^{12}}{t^2}$$  

• $$t^{10}$$  

• $$t^{14}$$  

• $$t^{24}$$  

• $$t^6$$  

Multiple Choice

Write 0.000972 in scientific notation.

• 9.72 x 10^-4

• 9.72 x 10^-3

• 972 x 10^-4

• 9.72 x 10⁴

Multiple Choice

$$\frac{12\ \cdot\ 10^8}{3\ \cdot\ 10^{-3}}$$  

• $$4\ \cdot\ 10^{-5}$$  

• $$9\ \cdot\ 10^{-3}$$  

• $$3\ \cdot\ 10^5$$  

• $$4\ \cdot\ 10^{11}$$  

Multiple Choice

(3.4 x 10⁵)(1.2 x 10^-3)

• 4.08 x 10^-8

• 4.8 x 10²

• 4.08 x 10²

• 4.08 x 10^-15

Multiple Choice

Coordinate points (-1, 1) would lead me to which plot point?

• H

• G

• A

• J

Multiple Choice

Which quadrant is (-4,-6) located in?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Choice

what is the slope of the following 12x - 6y = 30

• 2

• -2

• 12

• -12

Multiple Choice

Write the equation of the line.

• y= -1x-3

• y= -3x-1

• y=-1/3x-1

• y= -3x-3

Multiple Choice

Write the equation for the line in slope-intercept form.

• y= -1x+3

• y= 4x+3

• y=1/4x+3

• y= -4x+3

Multiple Choice

What is the slope of the line?

• m = -5/3

• m = -3/5

• m = 5/3

• m = 3/5

Multiple Choice

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2

• -1/2

• 2

• -2

Multiple Select

Find the slope of the line that passes through

(10, 1) and (5, 2)

• 1/5

• -1/5

• 5

• -5

Multiple Choice

Which is the equation of the line through

(-2, 4) and a slope of -1

• x = -2

• y = -1x - 2

• b = 2

• y = -1x + 2

Multiple Choice

y = x + 7: Which point is on the line?

• (0, 8)

• (1, 9)

• (2, 11)

• (3, 10)

Multiple Choice

What is the ordered pair for point K?

• (-3, -3)

• (3, -3)

• (-4, -4)

• (5, 8)

Fill in the Blanks

The sum of 4 times a number and fifty is ninety. What is the number

Fill in the Blanks

A patient gains 32 lbs over 6 months, the patient's new weight is 217 lbs. What was their initial weight?

Fill in the Blanks

Based on a patient's age, the initial dose of a medication must be reduced by  $\frac{1}{3}$ their age (in mg). If the initial dose is 283 mg and the dose administered is 258 mg, how old is the patient?

Fill in the Blanks

The Elastic Band-Aid is 42 meters long. You need to cut it in two pieces so that one is 8 meters longer than the other. What is the length of the longer piece?

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You have been tasked with dividing the budget for Diagnostic & Evaluation supplies. You need DSV Assessments, Range of Motion & Measuring Devices, and Vital sign supplies. The budget is $6813. DSV Assessments must be half of the Range of Motion & Measuring Devices and Vital sign supplies needs to be three times as much as Range of Motion & Measuring Devices. How much do you need for Vital sign supplies?

Multiple Choice

Which expression represents "A number divided by 5"?

• x/5

• 5/x

• 5x

• x+5

Multiple Choice

The product of a number and 6 is 32. What is the number?

• 4

• 37/6

• 16/3

• 192

Fill in the Blanks

For every 5g of medicine you need to dilute it with 3g of saline solution. If you have 67g of medicine, how much saline solution do you need? (round to one decimal point as needed)

Multiple Choice

A bank is offering 2.5% simple interest on a savings account.  If you deposit $5,000, how much interest will you earn in three years?

• $5375

• $375

• $37500

• $42500

Fill in the Blanks

The compound interest formula is  $A=P\left(1+\frac{r}{n}\right)^{nt}$ . If you deposit $3000 into an account, where interest is compounded monthly, with an interest rate of 15% how much money will you have after 5 years? (Round to the nearest cent)

Fill in the Blanks

Mr. Pham has $75,000 in a retirement account that has in interest rate of 12.50% simple interest each year. How long will it take to triple using simple interest?  A=P(1+rt)