Round 3 (8th Grade)

Functions

100

Which name is used to refer to the set of all possible output values for any function?

A. domain        B. range

C. integers        D. intercepts

B. range

200

What is the y-intercept of the function below?

 f(x)=2x-23 

A.  23         B.  2 

C.  -23         D.  2x 

C. -23 

300

 f(x)=(8+4x)^2 

Find  f(-3) .

16

400

Graph the function  f(x)=-3/4x+2 and identify the coordinate for  f(4) 

f(4)=-1

500

Find  f(8)  for this piecewise-defined function.

f(8)=28

Systems of Equations

100

Which point satisfies the given system of equations?

 y=x+3 

 y=-2x+6 

A. (1,3)         B. (-1, 3) 

C. (-1, 4)         D. (1,4) 

D. (1,4) 

200

Which point satisfies the given system of equations?

 {(y=1/3x+5),(y=6):} 

A.  (0,5)            B.  (0,6) 

C.  (3,5)            D.  (3,6) 

D.  (3,6) 

300

Find the point that satisfies the system.

{(y,-,3x,=,3),(y,-,2x,=,5):}

(2,9)

400

Find the point that satisfies the system.

{(7x,-,4y,=,19),(7x,-,3y,=,16):}

(1,-3)

500

Find the point that satisfies the system.

{(-3x,-,3y,=,15),(-20x,+,3y,=,8):}

(-1,-4)

Pythagorean Theorem

100

What name is given to the longest side of any right triangle?

A. leg                B. hypotenuse

C. base              D. diagonal

B. hypotenuse

200

Find the length of the hypotenuse for a right triangle whose legs have lengths of 3 units and 4 units.

A. 4 units         B. 5 units

C. 6 units         D. 7 units

B. 5 units

300

Find the length of the missing leg. (include units)

5 cm

400

Find the length of  b: (image not to scale; must include units)

8 cm

500

Find the exact distance between the points (–2, 5) and (10, –4) on the coordinate plane using the Pythagorean theorem.

 15 units

Congruence and Similarity

100

A transformation that turns a figure around a fixed point is called what?

A. translation        B. reflection

C. rotation            D. dilation

C. rotation

200

What kind of transformation maps WXYZ onto W'X'Y'Z'?

A. translation        B. reflection

C. rotation            D. dilation

B. reflection

300

If shape ABCD is reflected over the x-axis, what are the new coordinates for point C’?

(5,-5)

400

If these two shapes are similar, what is the measure of the missing length  u ?

20 m

500

Triangle ABC is translated 2.5 units right and 3 units up before it is reflected across the x-axis. What is the new coordinate for point C?

(2.5, -7)

Anything Goes

100

Which best describes the trend shown by the data in this scatter plot?

 

A. positive, linear              B. negative, linear

C. positive, non-linear        D. negative, non-linear

D. negative, non-linear

200

Which TWO relationships below are functions?

A.        B.

C.        D.

A. and B.

300

Convert to scientific notation: 

560,700,000,000

5.607xx10^11

400

Determine the SLOPE of the following equation. 

(Hint: it may help to put it in slope-intercept form)

 -5x+16+4y=-2x-20+3y 

m=3" " (y=3x-36)

500

Evaluate. Give your answer as a whole number or as a simplified fraction.

(2^-6xx4^3)/2^-4

16