Problem Solving with Algebra MCQ (Multiple Choice Questions) PDF Download

If four times of certain number 'a' is ten more than thrice the number then the equation derived for this statement can be written as

1. 3a = 4a + 10
2. 3a = 4a - 10
3. 4a = 3a - 10
4. 4a = 3a + 10

The four handbags and three school bags costs $2000 and cost of handbag is thrice as much as schoolbags. If cost of school bag is 'a' then the derived equation will be

1. 3(4a) - 3a = 2000
2. 3(4a) + 3a = 2000
3. 3(4a) + 3(3a) = 2000
4. 3(4a) - 3(3a) = 2000

If 'a' denotes the unknown value and is increased by 2, the result will be 12 then the equation for this statement will be

1. a + 2 = 12
2. 2a = 12
3. a = 12 + 2
4. a - 2 = 12

If sum of 4 consecutive numbers is 98 then the equation derived for this statement can be written as

1. a + (a + 1) + (a + 2) + (a + 3) = 98
2. a + 1 + 2 + 3 = 98
3. a + (a + 1) + (a + 2) + (a + 3) = 98a
4. (a)(1)(2)(3) = 98

If total sum of money to be divided in three siblings Ana, Ben and Mary is $6000, Ana receives two times as much as Ben receives and Mary receives three times as much as Ben. If Ben receives '$y' then the derived equation will be

1. 2y + y + 3y = 6000
2. 2y - y - 3y = 6000
3. 2 + 3 + 1 = 6000y
4. 2 - 3 - 1 = 6000y