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Q:

Simplify the right side of the equation when \(x=\frac{54}{5}\)

 

\(\text{m}\angle\text{D}=(6x+8.5)^{\circ}\)

 

Q:

Given the function \(f(x)=x^2-x\), then what is f(-x) as a simplified polynomial?

Q:

The measure of the interior angles of a pentagon are 2x, 6x, 4x-6, 2x-16, and 6x+2. What is the measure, in degrees, of the largest angle? 

 

A. 28°

B. 168°

C. 170°

D. 174°

Q:

Point M is the midpoint of PQ. If PM=25, and MQ=5x+5, determine the value of x.

 

Q:

Find the value of the expression below when \(x=\frac{3}{4}\)

 

\(4x^2+8x-5\)

Q:

The synergy show choir sold tickets to their latest performance. Students paid $3.75 per ticket,, while adults paid $6.00 per ticket. They forgot to record the number of each type of ticket sold. They were excited that the show was sold out. That meant there were 400 people who came to the performance! The total money collected was $1927.50. How many of each type of ticket did they sell for their show?

Q:

The temperature of water in a certain lake on a day in October can be determined by using the model \(y=15.2-0.537x\) where x is the number of feet down from the surface of the lake and y is the Celsius temperature of the water at that depth. Based on this model, how deep in the lake is the water 9 degrees? (Round to the nearest foot.)


 

Q:

The admission fee at a local zoo is $1.50 for children and $4.00 for adults. On certain day, 2000 people enter the zoo and $5,750 is collect. How many adults attended?

Q:

Is the system inconsistent?

\(\begin{cases}3x+y=3\\5x+5y=5\end{cases}\)

Q:

A man received 7 per cent interest on a loan of $800 for 1 year. How much interest did he receive?

Q:

Which phrase matches the algebraic expression below?

\(2(x-7)+10\)

 

a) Two times the sum of x and seven plus ten.

b) Two times the difference of x and seven plus ten.

c) Two times x minus seven plus ten.

d) Two times x minus the sum of seven and ten.

Q:

Two cyclists start at the same point and travel in opposite directions. One cyclist travels 3km/h faster than the other. If the two cyclists are 135 kilometers apart after 3 hours, what is the the rate of each cyclist?

Q:

The graph of a function is shown. How to find the domain and the range of the function?

 

Q:

Solve the inequality for u.

 

\(17>19+u\)

Q:

\(9xyz^4\)\(6xy^7z^5\)\(21x^5y^6z^6\)

 

The greatest common factor is?

Q:

Which of the following pairs of lines are not parallel?

 

\(y=-2, y=4\)

\(x+y=3, x-y=3\)

\(y=\frac{1}{2}x+5,y=\frac{1}{2}x-4\)

\(2x+y=-5, 6x+3y=9\)

Q:

Solve the system using substitution.

 

\(\begin{cases}x+5y=0\\3y+2x=-21\end{cases}\)

Q:

Find the GCF of the following literal terms

 

\(m^7n^4p^3\) and \(mn^{12}p^5\)

Q:

Convert the expression from exponential form to radical form.

\(x^{\frac{5}{9}}\)

Q:

The perimeter of a rectangle is 44 meters and the length is 10 meters more than twice the width. Find the dimensions.

Q:

Find the 7th term of the geometric sequence shown below

 

\(-9x^7\)\(-27x^{10}\)\(-81x^{13}\)

Q:

A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. 

 

 

According to the table, what was the rate of change between 2013 and 2017?

Q:

After spending \(\frac{3}{5}\) of his money on a tennis racket, Sean had $14 left. How much did the tennis racket cost?

Q:

The ordered pairs shown below represent a relation \(R\),

 

\(R=\{(-2, 2), (2, -2), (-4, 4), (4, -4)\}\)

 

Is the relation \(R\) a function? Explain why or why not.

 

Q:

Three sisters are saving for a special vacation. The ratio of Jenna's savings to Ellie's saving is 6:4, and the ratio of Ellies saving to Jasmine's savings is 4:2. Together, all three girls have saved 48 dollars. How much has each girl saved?

 

Q:

Find the values of the A, B, C and D so that the difference below is equal to \(3x^4-x^3-6x+16 \)

 

\((Ax^3+7+11x^4)-(Bx^4-2x^3+C+Dx) \)

Q:

Find the sum of the first 9 terms of the following sequence. Round to the nearest hundredth if necessary.

 

\(27,-45,75, ...\)

 

Sum of a finite geometric series:

\(S_n=\frac{a_1-a_1r^n}{1-r}\)

Q:

Use the distributive property to write an equivalent expression.

 

\(3(10f+8g-2)\)

Q:

Find the 10th term of the arithmetic sequence 4x-7, 9x-11, 14x-15, ...

Q:

During the sale, all items were marked down 35% off the original price. If Natasha purchased a microwave oven with a sale price of $442.00 before taxes, what was the original price of the microwave oven?

Q:

Find the common difference of the arithmetic sequence .

 

-7, -3.5, 0, 3.5, ...

 

A 10.5

B. 5

C. -0.5

D 3.5

Q:

Casey likes to run. She runs an additional \(\frac{1}{4}\) mile each day. On the last day, she ran \(1\frac{1}{4}\) miles. If she ran\(\frac{1}{2}\) mile her first day, for how many days has she been running?.

Q:

Lillian's test grades during the past five weeks were 90, 97, 100, 100, 92. What grade will she need to get on this week's test in order to have an average of 95?

Q:

Tomer mows lawns to earn summer spending money. He charges by the hour, based on his estimate of how long it takes mow a lawn. He estimated it would take 2 hours to mow his neighbor's lawn, but is actually took him 3.25 hours. What is the percent error for this estimate. 

Q:

\(\text{Solve the equation }-3x+5-2(3x-1)=7\)

Q:

Mrs Tan cycles daily to work every day. The distance between his workplace and his home is 35 km. He cycles at a speed of x km/h while going to work and increases his speed by 3 km/h when returning from work.

 

(a) Find the time he takes to travel to work in terms of x.

(b) Find the time he takes to return from work in terms of x.

(c) Given that he takes 20 minutes less while returning from work, show that his journey can be expressed by \(x^2+3x-315=0\)

(d) Solve \(x^2+3x-315=0\)

(e) Hence, find the speed when he is going to work.