2019 SUMMER

Mathematic Skills sharpener

GOING TO ELEVENTH GRADE

STUDENT’S NAME DATE

TEACHER COMING FROM

SCORE

TEACHER GOING TO

PARENT’S SIGNATURE DATE RECEIVED

SCORE - ___/____

SKILLS SHARPENER GOING TO ELEVENTH GRADE WEEK I. MATH Integers and equations

Day 1

Solve the following problems

a) -2 + (+3) = _________________ b) -7 - (-3) = ___________________ c) 14 - (-7) + (-2) = ________________

Use the order of operations to solve the following problems

a) 18 - (-12 - 3) = ______________________________________ b) 18 + (-7) • (32 – 6) = ______________________________________ c) -3 + 2(-6 ÷ 3)2= _______________________________________

Day 2

Solving multi step equations.

a) −12 = 2 + 5v + 2v= __________________ b) 75 = 3(−6n − 5)= __________________

c) −16 + 5n = −7(−6 + 8n) + 3= __________________ d) −3(1 + 6r) = 14 − r= __________________

Day 3

Solve each of the systems of equations by substitution. Show your work.

a) y = 6x − 11

−2x − 3y = −7

b) 2x − 3y = −1

y = x – 1

c) y = −3x + 5

5x − 4y = −3

Day 4

Solve each equation. Show your work.

a) 26 = 8 + v b) n + 16 = 9

c) -6 =

d)

= -13

WEEK II. MATH

Day 1

Solve each proportion:

a)

=

b)

=

c)

=

Day 2

Find the slope of each line:

a) b)

c) d)

Day 3

Find the slope of the line through each pair of points.

a) (­1,2) and (1,2) b) (1,­2) and (1,3)

c) (−4, 7), (−6, −4) d) (19, 3), (20, 3)

Day 4

Find the slope of each line

a) x + 2y = −8 b) 4x + 5y = −10

c) y = −1 d) x − y = −2

WEEK III. MATH

Day 1

Sketch the graph for each line

a) y=

x - 3 b) y=-6x + 3

Day 2

Use the distance formula to find the distance between each pair of points:

a) (7, 11) and (-1, 5) b) (2, 0) and (8, 6)

c) (-10, 2) and (-7, 6) d) (-2, -6) and (6, 9)

Day 3

Use the number line to calculate each item:

a) AB = _____ b) AD = ______ c) CF = ______ d) BE = _______

e) Midpoint of AB = _____ f). Midpoint of FB= _____

Day 4

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

a) Slope = -3 , y-intercept = -1 b) Slope = -

, y-intercept = 4

Find the slope of a line parallel to each given line.

a) yx b)y= -

x - 4

WEEK IV. MATH

Day 1

Answer the following questions based on the figure

a) Name the intersection of planes A and B:

b) Name 4 coplanar points:

c) Name 3 collinear points:

d) Name 3 non-collinear points:

e) Name 4 non-coplanar points:

Day 2

Segment Addition Postulate. Find the length indicated.

a)

b)

c)

Day 3

The angle addition postulate

a) b)

c) d)

Day 4

Parallel lines. Identify each pair of angles as corresponding, alternate interior, alternate exterior, or

consecutive interior.

a)

WEEK V. MATH Day 1

Use parallel lines and transversals. Find the value of x.

a) b.

Day 2

Perpendicular lines. Find the value of x.

a) b)

Day 3

Is it possible to prove the lines are parallel or not parallel? If so, state the postulate or theorem you would use.

If not, state cannot be determined.

a)

b)

c)

Day 4

Triangles. Classify each triangle by each angles and sides.

a) b) c)

WEEK VI. MATH

Day 1

Find the measure of each angle indicated

a) b) c)

Day 2

SSS and SAS Congruence. State if the two triangles are congruent. If they are, state how you know.

a) b) c)

Day 3

ASA and AAS Congruence. State if the two triangles are congruent. If they are, state how you know.

a) b) c)

Day 4

SSS, SAS, ASA, and AAS Congruence. State if the two triangles are congruent. If they are, state how you know.

a) b) c)

WEEK VII. MATH Day 1

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.

a) b) c)

b)

c)

d)

e)

f)

Day 2

Classifying quadrilaterals

a) b) c)

Day 3

a) b) c)

Day 4

Solve for x

a)

b)

WEEK VIII. MATH

Day 1

Find the area and perimeter (or circumference if the figure is a circle) of each. Use 3.14 for π. Round your

answer to the nearest tenth.

1. 6. 2. 8. 3. 4.

C = _________ P = __________ P = __________ P = ___________

A = _________ A = __________ A = __________ A = ___________

Day 2

Find the area of each composite figure

1) Find the area of the following polygons. 20 inches a) Area: __________________ 12 inches 18 inches 11 inches

b) What is the area of the parallelogram?

Area: ______________ 12 feet 15 feet 18 feet

4 in

14 m

13 m

10 m

9 cm

9 cm

5 ft

6 ft

Day 3

1. Find the area of the shaded region. 2. Find the area of the shaded region.

Day 4

Find the volume of the solid.

1. 2.

9 in.

10 in.

14 in.

11 in. 10 km 20 km

20 km

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