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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)
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