Skills Review - Geometry
Name: ______Date: ______Per.: _____
Skills Review - Geometry
Answer each question completely. Please make sure you SHOW ALL WORK in the space provided!
- Which value of p is the solution of
(1) (3) 3
(2) (4) 7
2. What are the factors of ?
(1) (x – 4)(x + 6) (3) (x – 12)(x + 2)
(2) (x – 4)(x – 6) (4) (x + 12)(x – 2)
3. What is the value of y in the following system of equations?
2x + 3y = 6
2x + y = –2
(1) 1 (3) –3
(2) 2 (4) 4
4. The equation is graphed on the set of axes below.
Based on this graph, what are the roots of the equation?
(1) 8 and 0(3) 9 and -1
(2) 2 and -4(4) 4 and -2
5. A swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of her dive.
Which equation represents the axis of symmetry?
(1) x = 3 (3) x = 23
(2) y = 3(4) y = 23
6. An equation of the line that has a slope of 3 and a y-intercept of –2 is
(1) x = 3y – 2 (3) y = – x
(2) y = 3x – 2 (4) y = –2x + 3
7. Which expression is equivalent to?
(1) (3)
(2) (4)
8. Ms. Brewer’s art class is drawing reflected images. She wants her students to draw images reflected in a line. Which diagram represents a correctly drawn image?
9. Nancy’s rectangular garden is represented in the diagram below.
If a diagonal walkway crosses her garden, what is its length, in feet?
(1) 17(3)
(2) 22(4)
10. What is the slope of the line that passes through the points (-5,4)and (15,-4)?
(1) (3)
(2) 0(4) undefined
Part II/III: Answer all questions in this part. Each correct answer will receive 2 - 3 credits. Clearly indicatethe necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc.For all questions in this part, a correct numerical answer with no work shown will receive only1 credit. All answers should be written in pen, except for graphs and drawings, which should bedone in pencil.
11. Write the equation for the line shown in the accompanying graph.
Explain your answer.
12.
Solve the following systems of equations graphically, on the set of axes below, and state the coordinates of the point(s) in the solution set.
