Simple linear equations are mathematical statements that show two expressions are equal and involve one variable to be solved. They help us find unknown values in problems and represent relationships between quantities. Learning to solve linear equations is a key skill in algebra and is used in science, economics, and everyday problem-solving. The Simple Linear Equations Quiz for Grade 7 develops students' equation-solving skills through varied problem types. Students can attempt these 10 MCQs to assess how well they can form and solve simple linear equations.
Solve the following equation for x: (9/2)x - 25 = 2x
Answer: (d) 10
Write the value of x which will make the following statement true.
Answer: (c) 15-Nov
If 3m - 7 = -6, then determine the value of 12m - 5.
Answer: (b) -1
Find the value of 3z, given that z is the solution of the following equation: 2/z - 7/z = 12/5
Answer: (d) -25/4
Select the equation that describes the following situation: -6 added to a number is equal to the difference of two-fifths of the number and three-eighths of the number.
Answer: (a) x - 6 = 2/5 x - 3/8 x
Solve the following equation for s:
Answer: (b) -5726⁄31
Two supplementary angles are such that one angle is 20⁰ more than one-third of the other angle. Determine the complement of the smaller angle.
Answer: (a) 30⁰
The mean of two numbers that differ by 4 is 13. Find the sum of their squares.
Answer: (d) 346
The cost of 12 kg of sugar and 10 kg of tea is $500. The cost per kg of tea is $5 less than the per kg cost of sugar. Find the cost of 15 kg of tea.
Answer: (c) $300
Read the passage carefully and answer the following question. Mark decides to visit his two friends, John and Ross, on two consecutive days. The distance covered by Mark to go to Ross's house is 72 km less than four-fifths of the distance covered by him to go to John's house. On the first day, Mark goes to John's house. He covers 1/3 of the distance by car, 1/6 of the remaining distance by bus and the rest 300 km by train. The following day, he only travels by bus and train to go to Ross's house and the distance he covers by bus is 60 km more than one-fifth of the distance covered by train. What distance does Mark travel by bus to reach Ross's house?
Answer: (a) 110 km
| Topic | Quiz |
|---|---|
| Algebraic Expressions | Quiz on Algebraic Expressions |
| Data Handling | Quiz on Data Handling |
| Simple Linear Equations | Quiz on Simple Linear Equations |
| Exponents and Powers | Quiz on Exponents and Powers |
| Fractions | Quiz on Fractions |
| Integers | Quiz on Integers |
| Mensuration | Quiz on Mensuration |
| Profit, Loss and Percentage | Quiz on Profit, Loss and Percentage |
| Ratio and Proportion | Quiz on Ratio and Proportion |
| Rational Numbers | Quiz on Rational Numbers |
| Symmetry and Visualising Solid Shapes | Quiz on Symmetry and Visualising Solid Shapes |
| Triangles | Quiz on Triangles |