LINEAR EQUATIONS

1. The price of a printing machine is 5 times the price of a computer. The total price of 5 computers and 2 printing machines is Rp 48,000,000. What is the price of a printing machine?
2. A rectangle is (2a + 5) meters long and (2a – 1) meters wide. If its perimeter is 32 meters long, then:
a. Form an equation in a and then solve it,
b. Find its length and width!
3. Anggi is 30 years old younger than his father. Five years later, the sum of their ages is 46 years. How old are Anggi and her father now? (Suppose that her father’s age is x ?
4. Fatia has 18 coins consisting of two hundred denominations and five – hundred denominations. If the amount of her money is Rp 5,400, find the number of each coin!
5. In along holiday, Joni traveled out of the city. At first the took a bus for ½ hours at a speed of (2x – 10) km/hour, and then he continued the trip by a train for 2 hours at a speed of (2x + 10) km/hour.
a. Express the entire distance traveled by Joni in terms of x !
b. If the distance traveled was 140 km, then form an equation in x and solve it!
c. Find the seed of each vehicle!


LINEAR INEQUALITIES IN ONE VARIABLE

1. Insert one of the signs >, = or < between the following pairs of number to form true sentences!
a. 14 ….. – 27
b. – 13 …. 17
c. – 34 …. – 81
d.
2. Express the following sentences in the form of mathematical sentences!
a. p lies in between – 3 and 7
b. q is not less than 18
c. y is not greater than 27
3. Combine each the following pairs of inequalities into a single inequality!
a. 5 < 8 and 8 < 10
b. 4 > 2 and 2 > - 3
c. – 2 < 5 and 14 > 5
4. Which of the following inequalities is a linear inequality?
a. 4 (x – 2)  12
b. X (6 + x) > 27
c.
d. y (4 – y) ≥ 9
5. Find the simplest equivalent inequality to each of the following inequalities. Write the answer in the form of, for example “x < 3” or “x ≥ 5”.
a. x – 5 > 8
b. x + 9 < 6
c. y + 4  -7
d. y – 11 ≥ - 1
e. 7 + z ≥ -3
f. 11  5 – p
6. Find the solution of each of the following inequalities !
a. 4x ≥ 3x + 7
b. 5x – 4  4x + 4
c. 2 < x + 4 < 9
d.
e. -3  y – 7  5
f. 2 (m – 3) < 3 – 8
g.
7. Find the solution of each of the following inequalities!
a. 2x < 10
b. 3x > -21
c.
d. -4y ≥ 24
8. Find the solutions of each of the following inequalities!
a. -5y ≥ y – 30
b. 2y – 8 < - 14
c. -3y + 15 > 9
d. 3 – 2y < 15
e. 16 + < 7
f. 7k < 15 + 2k
g. 3p > 8p – 10
h. 3p – 5 ≥ 4p
9. Find the solution of each of the following inequalities!
a. 2m + 6 < 4m – 2
b. 5m – 4 > 7m – 11
c. -6 < 2p < 16
d. -8  -4p  7m – 11
e. 2 (p + 1) >1
f. 5 (p – 4) > 7p – 11
g. 2 (2n – 1) < 3 (2x + 3)
h. 2 (4 – 3n)  4 (n – 5)
10. Find the solution of each of the following inequalities !
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.