Linear Equations 2 — Basic Algebra

Questions in this quiz (10)

1. Maria has 420 comic books, which is the same number that Noah and Liam have combined. Noah has twice as many comic books as Liam. Let $$x$$ represent the number of comic books Liam has. Noah has $$2x$$ comic books. From the information, the equation is: $$2x+x=420$$ How many comic books does Noah have?

   • $$140$$
   • $$210$$
   • $$280$$
   • $$315$$

2. The sum of five times a number and 8 is equal to 12 more than twice the number. Which equation could be used to find the value of $$x$$?

   • $$5x+8=2x+12$$
   • $$5x-8=2x+12$$
   • $$5x+8=12-2x$$
   • $$5(x+8)=2(12+x)$$

3. Jordan earned $$x$$ dollars mowing lawns on Saturday. His brother earned $$\$18$$ more than three times Jordan's earnings. Together, they earned $$\$210$$. How much did Jordan earn? Use the equation: $$x+(3x+18)=210$$

   • $$\$42$$
   • $$\$48$$
   • $$\$60$$
   • $$\$72$$

4. There are three times as many adults as children at a community meeting. If there are 48 people altogether, how many are adults?

   • $$12$$
   • $$24$$
   • $$36$$
   • $$40$$

5. The sum of four consecutive integers is 94. What is the greatest of the four integers?

   • $$22$$
   • $$23$$
   • $$24$$
   • $$25$$

6. A concert charges $$\$15$$ for an adult ticket and $$\$9$$ for a child ticket. A total of 180 tickets were sold, and the total ticket sales were $$\$2,340$$. How many adult tickets were sold?

   • $$90$$
   • $$120$$
   • $$150$$
   • $$160$$

7. A bookstore has two shelves of books. The second shelf has 250 more books than the first shelf. Together, the shelves contain 1,150 books. How many books are on the first shelf?

   • $$400$$
   • $$450$$
   • $$500$$
   • $$575$$

8. Ryan has 30 coins, all of which are either nickels or quarters. The total value of the coins is $$\$5.10$$. How many quarters does Ryan have?

   • $$12$$
   • $$15$$
   • $$18$$
   • $$20$$

9. Emma scored 8 points more than Lucas on a math test. Ava scored 4 points less than Lucas. Together, the three students scored 224 points. How many points did Emma score?

   • $$72$$
   • $$76$$
   • $$81\frac{1}{3}$$
   • $$84$$

10. Three adults and two children paid $$\$66$$ to enter a museum. A child's ticket costs $$\$4$$ less than an adult ticket. What is the cost of an adult ticket?

    • $$\$10$$
    • $$\$12$$
    • $$\$14.80$$
    • $$\$16$$