A system of equations is shown. $$2x+6=y$$ $$4x-2y=6$$ Which statement is true about the solution to the system?

There are no solutions because these lines are parallel to each other.

There are infinitely many solutions because these lines are parallel to each other.

There are infinitely many solutions because these lines are the same line.

There are no solutions because these lines are the same line.

Sakari saves money each week for a vacation. The expression $$85+20x$$ represents the amount of money, in dollars, Sakari has saved after x weeks. What does the constant term represent?

the initial amount Sakari saved for vacation

the total amount Sakari has saved for vacation

the amount Sakari still needs to save for vacation

the number of weeks Sakari has been saving for vacation

The function g(x) is given. $$g(x) = -3x^2 - 6x + 24$$ Which statement accurately describes the function?

The axis of symmetry of the function is x = -1.

The vertex of the function is (1, 27).

The minimum of the function is at (-1, 27).

Tasha and Nate each hit a ball into the air. The function $$h(t) = -16t^2 + 80t + 6$$ models the height, in feet, of Tasha’s ball after t seconds. The height of Nate’s ball after t seconds is displayed in this graph. Which statement is true?

Tasha hit the ball the highest at 106 feet.

Nate hit the ball the highest at 72 feet.

Nate’s ball was in the air for about 5.1 seconds.

Tasha’s ball was in the air for about 4.1 seconds.

Which situation can be modeled by an exponential function?

Leslie puts 5% of her salary into a retirement account where the interest is compounded monthly.

Leslie donates 3% of her salary to a charity each month.

Leslie pays $275 per month toward the balance owed on her car.

Savanna puts $1,000 into an account that earns 0.1% interest each month. She makes no more deposits or withdrawals. Which type of function best describes the amount in the account after x months, and why?

an exponential function, because she earns 0.1% each month

an exponential function, because she does not make any more deposits or withdrawals

a linear function, because she does not make any more deposits or withdrawals

a linear function, because she earns 0.1% each month

The function $$f\left(x\right)=250(0.5)^x$$ represents the amount of medicine, in mg, remaining in the body after x hours. What does 250 represent?

the amount of medicine after 250 hours

the amount of medicine decreasing by 250 mg each hour

The function $$f(x)=\frac{1}{3}x+70$$ represents Mike’s test grade, f(x), after x minutes of studying. What does the slope represent in this situation?

For every 15 minutes of study time, his grade increases 5 points.

For every 5 minutes of study time, his grade increases 15 points.

For every 5 minutes of study time, his grade decreases 15 points.

For every 15 minutes of study time, his grade decreases 5 points.

Lines pass through the sets of given points. Which choice shows perpendicular lines?

Line M: (4, 3) and (8, 6) Line N: (13, 20) and (16, 16)

Line M: (4, 6) and (8, 12) Line N: (8, 5) and (11, 7)

Line M: (4, 3) and (18, 6) Line N: (9, 11) and (12, 15)

Line M: (-2, 4) and (2, -10) Line N: (6, 5) and (3, 11)

The table below the average price of a new smart phone x years after 2012. The data set was modeled with the linear best-fit function. What is the meaning of the slope of the function?

The cost of a new smart phone increased by approximately $56 each year.

The cost of a new smart phone increased by approximately $311 each year.

The initial cost of a new smart phone was approximately $311.

The initial cost of a new smart phone was approximately $56.

Mr. Chan asked students from two classes the number of hours of sleep they got each night. Which statement is correct?

Class 2 has the larger mean and standard deviation.

Class 1 has the larger mean and standard deviation.

Class 1 has the larger mean, but the smaller standard deviation.

Class 2 has the larger mean, but the smaller standard deviation.

An administrator at a local hospital recorded the weights of newborn babies. • For year 2016, the mean weight of babies was 7.3 pounds, with a standard deviation of 0.8 pound. • For year 2017, the mean weight of babies was 7.5 pounds, with a standard deviation of 0.61 pound. Which statement is correct?

The weights for 2016 are more spread out around the mean than those of 2017.

The weights for 2016 are less spread out around the mean than those of 2017.

The weights of 2016 skew left, while the weights for 2017 skew right.

There is no difference in the spread of weights for 2016 and 2017.

Zack compared his math and science test grades. Which statement is true?

Both the median and interquartile range for math are higher than those for science.

The median for math is higher than that for science, but the interquartile range for science is higher than that for math.

The median for science is higher than that for math, but the interquartile range for math is higher than that for science.

Both the median and interquartile range for science are higher than those for math.

These box-and-whisker plots represent test scores from two different classes. Which statement is correct?

The third quartile range of class P is 5 greater than that of class M.

The interquartile range of class M is 5 less than that of class P.

The first quartile range of class P is 5 less than that of class M.

The median of class M is 5 greater than that of class P.

MCS Top 80 Math 1 EOC Questions - Number Quantity and Algebra

Authored by Louwenna Manalo

Mathematics

9th Grade

CCSS covered

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MCS Top 80 Math 1 EOC Questions - Number Quantity and Algebra

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80 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which expression is equivalent to $(2x-1)(4x+3)-(9x+1)(2x-1)$ ?

$-10x^2 + 21x - 4$

$-10x^2 + 9x - 2$

$-10x^2 - x - 2$

$-10x^2 - 5x - 4$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The area of a trapezoid can be found by using the expression $\frac{1}{2}h\ (b_1+b_2)$ . A trapezoid has a height of 12 units and bases of $(2x+3)\$ and $(3x+1)$ . Which expression represents the area of the trapezoid?

5x + 4

6x + 3

30x + 24

60x + 48

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The expression $16t^2 + 32t + 64$ models the height of a rocket, in feet, t seconds after it was launched. What does the 64 represent?

the maximum height of the rocket

the height of the rocket after 64 seconds

the speed of the rocket when it was launched

the height of the rocket when it was launched

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Hugh and Jennifer invest money.
Hugh invests $\$500$ in an account that earns $12\%$ compound interest each year.
Jennifer invests $750$ in an account that earns $\$25$ in interest each year.
Approximately how many years does it take for Hugh’s investment to have a higher value than Jennifer’s investment?

2.3

3.1

4.9

6.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which expression is equivalent to $\left(\frac{3x^4y^{-5}m^7n^{10}}{x^2y^3m^5n^{-2}}\right)^2$ ?

$\frac{9x^4m^2n^{10}}{y^2}$

$\frac{9x^8y^{14}m^4n^{24}}{y^{11}}$

$\frac{9x^{12}m^4n^{24}}{y^{18}}$

$\frac{9m^{70}}{x^{16}y^{40}n^{40}}$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

This graph shows function $g(x)$ . What is the best choice for factors of $g(x)$ ?

(9x + 3) and (6x - 4)

(9x - 3) and (6x + 4)

(3x + 9) and (4x - 6)

(3x - 9) and (4x + 6)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Tylisha works at an electronic store and also tutors.
●She earns $10 per hour at the electronics store.
● Shemustwork at least 8 hours each week at the electronics store.
● She tutors for $15 per hour.
● She wants to earn at least $120 per week.
● She does not want to work more than a total of 20 hours per week.
Which system of inequalities can be used to determine the number of hours Tylisha can work each week at the electronics store, e, and the number of hours she can tutor, t?

e > 8

10e + 15t > 120

e < 20 - t

e ≥ 8

10e + 15t ≥ 120

e ≤ 20 - t

e ≤ 8

10e + 15t ≤ 120

e ≥ 20 - t

e < 8

10e + 15t < 120

e > 20 - t

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The expression $1,000\ (1.05)^x$ represents the amount of money William has in his account after x years. What does $1.05$ represent?

The amount in the account increases by 5% each year.

The amount in the account increases by $105 each year.

The amount in the account increases by $1.05 each year.

The amount in the account increased by 0.05% each year.

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The formula for thermal conductivity of two substances is $k=\frac{Qd}{A\Delta T}$ , where Q is the amount of heat transferred, d is the distance between the two substances, A is the surface area, and ΔT is the difference in temperature. Which formula can be used to determine d, given K, Q, A, and ΔT?

$d=KAΔT−Q$

$d=\frac{KA}{Q}+ΔT$

$d=\frac{KAΔT}{Q}$

$d=\frac{Q}{KAΔT}$

Tags

CCSS.HSA.CED.A.4

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A rectangular field measures $(10x+4)$ ft long and $(7x)$ ft wide. An outdoor basketball court that measures $(8x+4)$ ft long and $(5x)$ ft wide is inside the field. What is the area of the field that the basketball court does not cover?

(4x) ft²

(8x) ft²

(30x² + 8x) ft²

(30x² − 8x) ft²

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MCS Top 80 Math 1 EOC Questions - Number Quantity and Algebra

Which expression is equivalent to (2x−1)(4x+3)−(9x+1)(2x−1)(2x-1)(4x+3)-(9x+1)(2x-1)(2x−1)(4x+3)−(9x+1)(2x−1) ?

The area of a trapezoid can be found by using the expression 12h (b1+b2)\frac{1}{2}h\ (b_1+b_2)21​h (b1​+b2​) . A trapezoid has a height of 12 units and bases of (2x+3) (2x+3)\ (2x+3) and (3x+1)(3x+1)(3x+1) . Which expression represents the area of the trapezoid?

The expression 16t2+32t+6416t^2 + 32t + 6416t2+32t+64 models the height of a rocket, in feet, t seconds after it was launched. What does the 64 represent?

Which expression is equivalent to (3x4y−5m7n10x2y3m5n−2)2\left(\frac{3x^4y^{-5}m^7n^{10}}{x^2y^3m^5n^{-2}}\right)^2(x2y3m5n−23x4y−5m7n10​)2 ?

This graph shows function g(x)g(x)g(x) . What is the best choice for factors of g(x)g(x)g(x) ?

The expression 1,000 (1.05)x1,000\ (1.05)^x1,000 (1.05)x represents the amount of money William has in his account after x years. What does 1.051.051.05 represent?

A rectangular field measures (10x+4)(10x+4)(10x+4) ft long and (7x)(7x)(7x) ft wide. An outdoor basketball court that measures (8x+4)(8x+4)(8x+4) ft long and (5x)(5x)(5x) ft wide is inside the field. What is the area of the field that the basketball court does not cover?

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Discover more resources for Mathematics

Which expression is equivalent to $(2x-1)(4x+3)-(9x+1)(2x-1)$ ?

The area of a trapezoid can be found by using the expression $\frac{1}{2}h\ (b_1+b_2)$ . A trapezoid has a height of 12 units and bases of $(2x+3)\$ and $(3x+1)$ . Which expression represents the area of the trapezoid?

The expression $16t^2 + 32t + 64$ models the height of a rocket, in feet, t seconds after it was launched. What does the 64 represent?

Which expression is equivalent to $\left(\frac{3x^4y^{-5}m^7n^{10}}{x^2y^3m^5n^{-2}}\right)^2$ ?

This graph shows function $g(x)$ . What is the best choice for factors of $g(x)$ ?

The expression $1,000\ (1.05)^x$ represents the amount of money William has in his account after x years. What does $1.05$ represent?

A rectangular field measures $(10x+4)$ ft long and $(7x)$ ft wide. An outdoor basketball court that measures $(8x+4)$ ft long and $(5x)$ ft wide is inside the field. What is the area of the field that the basketball court does not cover?