Name: ______
Algebra 2 (H) ~ Summer Assignment
Vocabulary You should be familiar with the terms below.
- Domain
- Range
- Quadrants
- Mapping
- Function
- Outcome
- Mean
- Median
- Mode
- Range
- Variable
- Algebraic expression
- Order of operations
- Formula
- Equation
- Solution
- Absolute value
- Compound inequality
Complete the following. Please circle, box, or highlight your final answers.
State the domain and range of each relation. Then determine whether each relation is a function. Write yes or no.
- {(14, 1), (-3, 6), (8, 4)}2. DomainRange
Find each product.
6.)(4x + 1)(7x –5)7.) (a – 3)(a + 6)
8.)There are two integers. One is 5 more than a number, and the other is 1 less than the same number.
- Write expressions for the two numbers
- Write a polynomial expression for the product of the numbers
Factor each polynomial.
9.)10ab2 + 5b10.) 15d – 12cd2
11.)y2 + 6y – 7 12.) 3a2+ 28a + 32
13.) Determine whether the triangles are similar, congruent, or neither.
14.) A photo that is 3 inches wide by 5 inches long is being enlarged so that it is 12 inches long. How wide will the enlarged photo be?
Find each missing measure. Round to the nearest tenth, if necessary.
15.)a = 6 yd16.)
b = 9 yd
c = ?
The lengths of three sides of a triangle are given. Determine whether each triangle is a right triangle.
17.) 12 yd, 14 yd, 16 yd18.) 15 km, 20 km, 25 km
Evaluate each expression
19.) [28 – (16 + 3)] ÷ 320.) 21.)
Evaluate each expression if w = 0.2, x = 10, y = ½ , and z = - 4.
22.) 4w – 8y23.) z2 + xy24.)
Solve each equation. Be sure to check your solution.
25.) 8 + 5r = -2726.) 4w + 10 = 6w – 13
27.) 28.) 6b – 5 = 3(b + 2)
Solve each equation or formula for the specified variable.
29.) form30.) form31.) for h
Solve each inequality. Then graph the solution set on a number line.
32.) 33.)
34.) 35.)
36.) Ms. Hawkins is taking her science class on a field trip to a museum. She has $572 to spend on the trip. There are 52 students that will go to the museum. The museum charges $5 per student, and Ms. Hawkins gets in for free. If the students will have slices of pizza for lunch that cost $2 each, how many slices can each student have?
Using the chart below, answer questions 37-39.
37.) 38.) 39.)
Simplify each expression.
40.) 41.) 42.)
43.) At Fun City Amusement Park, hot dogs sell for $3.50 and sodas sell for $2.50. Dion brought 3 hot dogs and 3 sodas during one day at the park.
a.) Illustrate the Distributive Property by writing two expressions to represent te cost of the hot dogs and the sodas.
b.) Use the Distributive Property to find how much money Dion spent on food and drinks.